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Finding the Fourth Proportional to 132,211.87, 198,396.60 and 47,978.61

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Solution

The fourth proportional to 132,211.87, 198,396.60 and 47,978.61 is: 71,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,211.87 : 198,396.60 = 47,978.61 : x
  2. Step 2: Convert to fraction form
    132,211.87/198,396.60 = 47,978.61/x
  3. Step 3: Cross multiply
    132,211.87x = 198,396.60 × 47,978.61
  4. Step 4: Simplify right side
    132,211.87x = 9,518,793,096.73
  5. Step 5: Solve for x
    x = 9,518,793,096.73/132,211.87
  6. Step 6: Final answer
    x = 71,996.51

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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.