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Finding the Fourth Proportional to 170,951.40, 256,427.10 and 82,377.90

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Solution

The fourth proportional to 170,951.40, 256,427.10 and 82,377.90 is: 123,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,951.40 : 256,427.10 = 82,377.90 : x
  2. Step 2: Convert to fraction form
    170,951.40/256,427.10 = 82,377.90/x
  3. Step 3: Cross multiply
    170,951.40x = 256,427.10 × 82,377.90
  4. Step 4: Simplify right side
    170,951.40x = 21,123,926,001.09
  5. Step 5: Solve for x
    x = 21,123,926,001.09/170,951.40
  6. Step 6: Final answer
    x = 123,566.85

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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.