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Finding the Fourth Proportional to 137,711.76, 206,564.90 and 90,624.29

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Solution

The fourth proportional to 137,711.76, 206,564.90 and 90,624.29 is: 135,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,711.76 : 206,564.90 = 90,624.29 : x
  2. Step 2: Convert to fraction form
    137,711.76/206,564.90 = 90,624.29/x
  3. Step 3: Cross multiply
    137,711.76x = 206,564.90 × 90,624.29
  4. Step 4: Simplify right side
    137,711.76x = 18,719,795,915.48
  5. Step 5: Solve for x
    x = 18,719,795,915.48/137,711.76
  6. Step 6: Final answer
    x = 135,934.62

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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.