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Finding the Fourth Proportional to 137,781, 206,478.96 and 74,464.62

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Solution

The fourth proportional to 137,781, 206,478.96 and 74,464.62 is: 111,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781 : 206,478.96 = 74,464.62 : x
  2. Step 2: Convert to fraction form
    137,781/206,478.96 = 74,464.62/x
  3. Step 3: Cross multiply
    137,781x = 206,478.96 × 74,464.62
  4. Step 4: Simplify right side
    137,781x = 15,375,377,294.40
  5. Step 5: Solve for x
    x = 15,375,377,294.40/137,781
  6. Step 6: Final answer
    x = 111,592.87

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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.