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Finding the Fourth Proportional to 71,671.38, 107,590.14 and 38,456.43

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Solution

The fourth proportional to 71,671.38, 107,590.14 and 38,456.43 is: 57,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,671.38 : 107,590.14 = 38,456.43 : x
  2. Step 2: Convert to fraction form
    71,671.38/107,590.14 = 38,456.43/x
  3. Step 3: Cross multiply
    71,671.38x = 107,590.14 × 38,456.43
  4. Step 4: Simplify right side
    71,671.38x = 4,137,532,687.60
  5. Step 5: Solve for x
    x = 4,137,532,687.60/71,671.38
  6. Step 6: Final answer
    x = 57,729.22

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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.