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Finding the Fourth Proportional to 136,638.92, 204,892.70 and 77,458.70

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Solution

The fourth proportional to 136,638.92, 204,892.70 and 77,458.70 is: 116,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,638.92 : 204,892.70 = 77,458.70 : x
  2. Step 2: Convert to fraction form
    136,638.92/204,892.70 = 77,458.70/x
  3. Step 3: Cross multiply
    136,638.92x = 204,892.70 × 77,458.70
  4. Step 4: Simplify right side
    136,638.92x = 15,870,720,769.73
  5. Step 5: Solve for x
    x = 15,870,720,769.73/136,638.92
  6. Step 6: Final answer
    x = 116,150.81

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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.