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Finding the Fourth Proportional to 137,952.81, 207,191.67 and 85,727.25

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Solution

The fourth proportional to 137,952.81, 207,191.67 and 85,727.25 is: 128,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,952.81 : 207,191.67 = 85,727.25 : x
  2. Step 2: Convert to fraction form
    137,952.81/207,191.67 = 85,727.25/x
  3. Step 3: Cross multiply
    137,952.81x = 207,191.67 × 85,727.25
  4. Step 4: Simplify right side
    137,952.81x = 17,761,972,092.01
  5. Step 5: Solve for x
    x = 17,761,972,092.01/137,952.81
  6. Step 6: Final answer
    x = 128,753.97

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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.