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Finding the Fourth Proportional to 138,640.25, 207,960.41 and 38,815.15

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Solution

The fourth proportional to 138,640.25, 207,960.41 and 38,815.15 is: 58,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640.25 : 207,960.41 = 38,815.15 : x
  2. Step 2: Convert to fraction form
    138,640.25/207,960.41 = 38,815.15/x
  3. Step 3: Cross multiply
    138,640.25x = 207,960.41 × 38,815.15
  4. Step 4: Simplify right side
    138,640.25x = 8,072,013,274.33
  5. Step 5: Solve for x
    x = 8,072,013,274.33/138,640.25
  6. Step 6: Final answer
    x = 58,222.73

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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.