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Finding the Fourth Proportional to 257,375.86, 386,115.42 and 88,902.34

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Solution

The fourth proportional to 257,375.86, 386,115.42 and 88,902.34 is: 133,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,375.86 : 386,115.42 = 88,902.34 : x
  2. Step 2: Convert to fraction form
    257,375.86/386,115.42 = 88,902.34/x
  3. Step 3: Cross multiply
    257,375.86x = 386,115.42 × 88,902.34
  4. Step 4: Simplify right side
    257,375.86x = 34,326,564,348.08
  5. Step 5: Solve for x
    x = 34,326,564,348.08/257,375.86
  6. Step 6: Final answer
    x = 133,371.34

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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.