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Finding the Fourth Proportional to 137,887.76, 206,780.56 and 49,117.68

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Solution

The fourth proportional to 137,887.76, 206,780.56 and 49,117.68 is: 73,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,887.76 : 206,780.56 = 49,117.68 : x
  2. Step 2: Convert to fraction form
    137,887.76/206,780.56 = 49,117.68/x
  3. Step 3: Cross multiply
    137,887.76x = 206,780.56 × 49,117.68
  4. Step 4: Simplify right side
    137,887.76x = 10,156,581,376.30
  5. Step 5: Solve for x
    x = 10,156,581,376.30/137,887.76
  6. Step 6: Final answer
    x = 73,658.32

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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.