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Finding the Fourth Proportional to 71,265.80, 107,129.10 and 65,736.20

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Solution

The fourth proportional to 71,265.80, 107,129.10 and 65,736.20 is: 98,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265.80 : 107,129.10 = 65,736.20 : x
  2. Step 2: Convert to fraction form
    71,265.80/107,129.10 = 65,736.20/x
  3. Step 3: Cross multiply
    71,265.80x = 107,129.10 × 65,736.20
  4. Step 4: Simplify right side
    71,265.80x = 7,042,259,943.42
  5. Step 5: Solve for x
    x = 7,042,259,943.42/71,265.80
  6. Step 6: Final answer
    x = 98,816.82

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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.