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Finding the Fourth Proportional to 80,478.64, 120,730.65 and 24,311.77

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Solution

The fourth proportional to 80,478.64, 120,730.65 and 24,311.77 is: 36,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478.64 : 120,730.65 = 24,311.77 : x
  2. Step 2: Convert to fraction form
    80,478.64/120,730.65 = 24,311.77/x
  3. Step 3: Cross multiply
    80,478.64x = 120,730.65 × 24,311.77
  4. Step 4: Simplify right side
    80,478.64x = 2,935,175,794.75
  5. Step 5: Solve for x
    x = 2,935,175,794.75/80,478.64
  6. Step 6: Final answer
    x = 36,471.49

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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.