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Finding the Fourth Proportional to 171,201.18, 256,856.45 and 82,463.66

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Solution

The fourth proportional to 171,201.18, 256,856.45 and 82,463.66 is: 123,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,201.18 : 256,856.45 = 82,463.66 : x
  2. Step 2: Convert to fraction form
    171,201.18/256,856.45 = 82,463.66/x
  3. Step 3: Cross multiply
    171,201.18x = 256,856.45 × 82,463.66
  4. Step 4: Simplify right side
    171,201.18x = 21,181,322,961.61
  5. Step 5: Solve for x
    x = 21,181,322,961.61/171,201.18
  6. Step 6: Final answer
    x = 123,721.83

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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.