Should the burden be N times higher when there are N times more elderly people per active worker?

Should the burden be N times greater when there are N times more elderly people per working age person? (I don’t think so), and I was wondering exactly how much that N is. N=6 apparently.

Statistics Bureau, Ministry of Internal Affairs and Communications Statistics on the elderly in Japan

• In 1950, the elderly (65 years and older) were about 4.9% of the total population, but by 2023 they will account for about 29.1%.
  • 
• In 1950, about 12 people of working age supported one elderly person; by 2020, the situation has changed to about 2 people supporting one elderly person. This means that the burden on the working-age population has increased by a factor of about 6!
  • 
  • In 2023, 7,398 people aged 15~64 and 3,623 people aged 65 and over
  • The 1950 data is not here.

How many times more has the working-age population had to pay?

• Is it about 6x or $\sqrt{6}$times more?

They don’t give me very good answers.

Social security benefit payments are increasing year by year and are expected to reach 137.8 trillion yen by 2024

Insurance Premiums for Late-Stage Health Care for the Elderly from Fiscal 2024 | Ministry of Health, Labour and Welfare This would be 1.7 times

• cost of social security Social Security Burden

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