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Finding the Fourth Proportional to 55,932.38, 77,186.70 and 30,781.88

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Solution

The fourth proportional to 55,932.38, 77,186.70 and 30,781.88 is: 42,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,932.38 : 77,186.70 = 30,781.88 : x
  2. Step 2: Convert to fraction form
    55,932.38/77,186.70 = 30,781.88/x
  3. Step 3: Cross multiply
    55,932.38x = 77,186.70 × 30,781.88
  4. Step 4: Simplify right side
    55,932.38x = 2,375,951,737.00
  5. Step 5: Solve for x
    x = 2,375,951,737.00/55,932.38
  6. Step 6: Final answer
    x = 42,479.00

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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.