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Finding the Fourth Proportional to 132,207.20, 198,311.20 and 92,940

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Solution

The fourth proportional to 132,207.20, 198,311.20 and 92,940 is: 139,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,207.20 : 198,311.20 = 92,940 : x
  2. Step 2: Convert to fraction form
    132,207.20/198,311.20 = 92,940/x
  3. Step 3: Cross multiply
    132,207.20x = 198,311.20 × 92,940
  4. Step 4: Simplify right side
    132,207.20x = 18,431,042,928
  5. Step 5: Solve for x
    x = 18,431,042,928/132,207.20
  6. Step 6: Final answer
    x = 139,410.28

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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.