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Finding the Fourth Proportional to 71,560.38, 107,221.17 and 31,519.74

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Solution

The fourth proportional to 71,560.38, 107,221.17 and 31,519.74 is: 47,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,560.38 : 107,221.17 = 31,519.74 : x
  2. Step 2: Convert to fraction form
    71,560.38/107,221.17 = 31,519.74/x
  3. Step 3: Cross multiply
    71,560.38x = 107,221.17 × 31,519.74
  4. Step 4: Simplify right side
    71,560.38x = 3,379,583,400.90
  5. Step 5: Solve for x
    x = 3,379,583,400.90/71,560.38
  6. Step 6: Final answer
    x = 47,227.02

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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.