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Finding the Fourth Proportional to 137,951.31, 207,189.42 and 85,725.75

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Solution

The fourth proportional to 137,951.31, 207,189.42 and 85,725.75 is: 128,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.31 : 207,189.42 = 85,725.75 : x
  2. Step 2: Convert to fraction form
    137,951.31/207,189.42 = 85,725.75/x
  3. Step 3: Cross multiply
    137,951.31x = 207,189.42 × 85,725.75
  4. Step 4: Simplify right side
    137,951.31x = 17,761,468,421.57
  5. Step 5: Solve for x
    x = 17,761,468,421.57/137,951.31
  6. Step 6: Final answer
    x = 128,751.72

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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.