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Finding the Fourth Proportional to 77,750.91, 116,659.17 and 38,308.41

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Solution

The fourth proportional to 77,750.91, 116,659.17 and 38,308.41 is: 57,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,750.91 : 116,659.17 = 38,308.41 : x
  2. Step 2: Convert to fraction form
    77,750.91/116,659.17 = 38,308.41/x
  3. Step 3: Cross multiply
    77,750.91x = 116,659.17 × 38,308.41
  4. Step 4: Simplify right side
    77,750.91x = 4,469,027,314.62
  5. Step 5: Solve for x
    x = 4,469,027,314.62/77,750.91
  6. Step 6: Final answer
    x = 57,478.78

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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.