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Finding the Fourth Proportional to 138,269.75, 207,404.76 and 38,429.96

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Solution

The fourth proportional to 138,269.75, 207,404.76 and 38,429.96 is: 57,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,269.75 : 207,404.76 = 38,429.96 : x
  2. Step 2: Convert to fraction form
    138,269.75/207,404.76 = 38,429.96/x
  3. Step 3: Cross multiply
    138,269.75x = 207,404.76 × 38,429.96
  4. Step 4: Simplify right side
    138,269.75x = 7,970,555,593.59
  5. Step 5: Solve for x
    x = 7,970,555,593.59/138,269.75
  6. Step 6: Final answer
    x = 57,644.97

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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.