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Finding the Fourth Proportional to 80,378.52, 120,600.60 and 27,825

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Solution

The fourth proportional to 80,378.52, 120,600.60 and 27,825 is: 41,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,378.52 : 120,600.60 = 27,825 : x
  2. Step 2: Convert to fraction form
    80,378.52/120,600.60 = 27,825/x
  3. Step 3: Cross multiply
    80,378.52x = 120,600.60 × 27,825
  4. Step 4: Simplify right side
    80,378.52x = 3,355,711,695
  5. Step 5: Solve for x
    x = 3,355,711,695/80,378.52
  6. Step 6: Final answer
    x = 41,748.86

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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.