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Finding the Fourth Proportional to 65,609,971.80, 98,414,957.70 and 20,165,861.40

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Solution

The fourth proportional to 65,609,971.80, 98,414,957.70 and 20,165,861.40 is: 30,248,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,609,971.80 : 98,414,957.70 = 20,165,861.40 : x
  2. Step 2: Convert to fraction form
    65,609,971.80/98,414,957.70 = 20,165,861.40/x
  3. Step 3: Cross multiply
    65,609,971.80x = 98,414,957.70 × 20,165,861.40
  4. Step 4: Simplify right side
    65,609,971.80x = 1,984,622,396,665,062.75
  5. Step 5: Solve for x
    x = 1,984,622,396,665,062.75/65,609,971.80
  6. Step 6: Final answer
    x = 30,248,792.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.