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Finding the Fourth Proportional to 75,710.38, 113,635.88 and 38,296.88

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Solution

The fourth proportional to 75,710.38, 113,635.88 and 38,296.88 is: 57,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710.38 : 113,635.88 = 38,296.88 : x
  2. Step 2: Convert to fraction form
    75,710.38/113,635.88 = 38,296.88/x
  3. Step 3: Cross multiply
    75,710.38x = 113,635.88 × 38,296.88
  4. Step 4: Simplify right side
    75,710.38x = 4,351,899,660.05
  5. Step 5: Solve for x
    x = 4,351,899,660.05/75,710.38
  6. Step 6: Final answer
    x = 57,480.89

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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.