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Finding the Fourth Proportional to 137,353.43, 206,100.47 and 65,387.79

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Solution

The fourth proportional to 137,353.43, 206,100.47 and 65,387.79 is: 98,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,353.43 : 206,100.47 = 65,387.79 : x
  2. Step 2: Convert to fraction form
    137,353.43/206,100.47 = 65,387.79/x
  3. Step 3: Cross multiply
    137,353.43x = 206,100.47 × 65,387.79
  4. Step 4: Simplify right side
    137,353.43x = 13,476,454,414.73
  5. Step 5: Solve for x
    x = 13,476,454,414.73/137,353.43
  6. Step 6: Final answer
    x = 98,115.16

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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.