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Finding the Fourth Proportional to 187,711.52, 258,978.48 and 107,082.32

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Solution

The fourth proportional to 187,711.52, 258,978.48 and 107,082.32 is: 147,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,711.52 : 258,978.48 = 107,082.32 : x
  2. Step 2: Convert to fraction form
    187,711.52/258,978.48 = 107,082.32/x
  3. Step 3: Cross multiply
    187,711.52x = 258,978.48 × 107,082.32
  4. Step 4: Simplify right side
    187,711.52x = 27,732,016,468.47
  5. Step 5: Solve for x
    x = 27,732,016,468.47/187,711.52
  6. Step 6: Final answer
    x = 147,737.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.