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Finding the Fourth Proportional to 132,539.62, 198,734.12 and 90,470.63

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Solution

The fourth proportional to 132,539.62, 198,734.12 and 90,470.63 is: 135,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,539.62 : 198,734.12 = 90,470.63 : x
  2. Step 2: Convert to fraction form
    132,539.62/198,734.12 = 90,470.63/x
  3. Step 3: Cross multiply
    132,539.62x = 198,734.12 × 90,470.63
  4. Step 4: Simplify right side
    132,539.62x = 17,979,601,038.90
  5. Step 5: Solve for x
    x = 17,979,601,038.90/132,539.62
  6. Step 6: Final answer
    x = 135,654.54

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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.