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Finding the Fourth Proportional to 198,739.52, 297,819.36 and 92,156

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Solution

The fourth proportional to 198,739.52, 297,819.36 and 92,156 is: 138,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,739.52 : 297,819.36 = 92,156 : x
  2. Step 2: Convert to fraction form
    198,739.52/297,819.36 = 92,156/x
  3. Step 3: Cross multiply
    198,739.52x = 297,819.36 × 92,156
  4. Step 4: Simplify right side
    198,739.52x = 27,445,840,940.16
  5. Step 5: Solve for x
    x = 27,445,840,940.16/198,739.52
  6. Step 6: Final answer
    x = 138,099.56

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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.