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Finding the Fourth Proportional to 76,251.66, 114,377.78 and 42,538.44

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Solution

The fourth proportional to 76,251.66, 114,377.78 and 42,538.44 is: 63,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,251.66 : 114,377.78 = 42,538.44 : x
  2. Step 2: Convert to fraction form
    76,251.66/114,377.78 = 42,538.44/x
  3. Step 3: Cross multiply
    76,251.66x = 114,377.78 × 42,538.44
  4. Step 4: Simplify right side
    76,251.66x = 4,865,452,331.86
  5. Step 5: Solve for x
    x = 4,865,452,331.86/76,251.66
  6. Step 6: Final answer
    x = 63,807.82

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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.