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Finding the Fourth Proportional to 80,316.87, 120,490.51 and 32,289.20

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Solution

The fourth proportional to 80,316.87, 120,490.51 and 32,289.20 is: 48,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,316.87 : 120,490.51 = 32,289.20 : x
  2. Step 2: Convert to fraction form
    80,316.87/120,490.51 = 32,289.20/x
  3. Step 3: Cross multiply
    80,316.87x = 120,490.51 × 32,289.20
  4. Step 4: Simplify right side
    80,316.87x = 3,890,541,573.04
  5. Step 5: Solve for x
    x = 3,890,541,573.04/80,316.87
  6. Step 6: Final answer
    x = 48,439.91

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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.