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Finding the Fourth Proportional to 73,761.72, 110,691.79 and 38,255.78

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Solution

The fourth proportional to 73,761.72, 110,691.79 and 38,255.78 is: 57,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,761.72 : 110,691.79 = 38,255.78 : x
  2. Step 2: Convert to fraction form
    73,761.72/110,691.79 = 38,255.78/x
  3. Step 3: Cross multiply
    73,761.72x = 110,691.79 × 38,255.78
  4. Step 4: Simplify right side
    73,761.72x = 4,234,600,212.59
  5. Step 5: Solve for x
    x = 4,234,600,212.59/73,761.72
  6. Step 6: Final answer
    x = 57,409.18

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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.