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Finding the Fourth Proportional to 234,414.50, 323,472.90 and 137,608

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Solution

The fourth proportional to 234,414.50, 323,472.90 and 137,608 is: 189,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,414.50 : 323,472.90 = 137,608 : x
  2. Step 2: Convert to fraction form
    234,414.50/323,472.90 = 137,608/x
  3. Step 3: Cross multiply
    234,414.50x = 323,472.90 × 137,608
  4. Step 4: Simplify right side
    234,414.50x = 44,512,458,823.20
  5. Step 5: Solve for x
    x = 44,512,458,823.20/234,414.50
  6. Step 6: Final answer
    x = 189,887.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.