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Finding the Fourth Proportional to 239,906.26, 359,910.14 and 90,147.85

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Solution

The fourth proportional to 239,906.26, 359,910.14 and 90,147.85 is: 135,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,906.26 : 359,910.14 = 90,147.85 : x
  2. Step 2: Convert to fraction form
    239,906.26/359,910.14 = 90,147.85/x
  3. Step 3: Cross multiply
    239,906.26x = 359,910.14 × 90,147.85
  4. Step 4: Simplify right side
    239,906.26x = 32,445,123,963.68
  5. Step 5: Solve for x
    x = 32,445,123,963.68/239,906.26
  6. Step 6: Final answer
    x = 135,240.84

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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.