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Finding the Fourth Proportional to 171,078, 256,723.92 and 82,340.88

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Solution

The fourth proportional to 171,078, 256,723.92 and 82,340.88 is: 123,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,078 : 256,723.92 = 82,340.88 : x
  2. Step 2: Convert to fraction form
    171,078/256,723.92 = 82,340.88/x
  3. Step 3: Cross multiply
    171,078x = 256,723.92 × 82,340.88
  4. Step 4: Simplify right side
    171,078x = 21,138,873,489.85
  5. Step 5: Solve for x
    x = 21,138,873,489.85/171,078
  6. Step 6: Final answer
    x = 123,562.78

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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.