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Finding the Fourth Proportional to 78,392.64, 108,177.76 and 42,582.61

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Solution

The fourth proportional to 78,392.64, 108,177.76 and 42,582.61 is: 58,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.64 : 108,177.76 = 42,582.61 : x
  2. Step 2: Convert to fraction form
    78,392.64/108,177.76 = 42,582.61/x
  3. Step 3: Cross multiply
    78,392.64x = 108,177.76 × 42,582.61
  4. Step 4: Simplify right side
    78,392.64x = 4,606,491,553.20
  5. Step 5: Solve for x
    x = 4,606,491,553.20/78,392.64
  6. Step 6: Final answer
    x = 58,761.78

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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.