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Finding the Fourth Proportional to 80,049.60, 120,149.64 and 40,635

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Solution

The fourth proportional to 80,049.60, 120,149.64 and 40,635 is: 60,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,049.60 : 120,149.64 = 40,635 : x
  2. Step 2: Convert to fraction form
    80,049.60/120,149.64 = 40,635/x
  3. Step 3: Cross multiply
    80,049.60x = 120,149.64 × 40,635
  4. Step 4: Simplify right side
    80,049.60x = 4,882,280,621.40
  5. Step 5: Solve for x
    x = 4,882,280,621.40/80,049.60
  6. Step 6: Final answer
    x = 60,990.69

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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.