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Finding the Fourth Proportional to 80,179.68, 120,281.04 and 24,780

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Solution

The fourth proportional to 80,179.68, 120,281.04 and 24,780 is: 37,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,179.68 : 120,281.04 = 24,780 : x
  2. Step 2: Convert to fraction form
    80,179.68/120,281.04 = 24,780/x
  3. Step 3: Cross multiply
    80,179.68x = 120,281.04 × 24,780
  4. Step 4: Simplify right side
    80,179.68x = 2,980,564,171.20
  5. Step 5: Solve for x
    x = 2,980,564,171.20/80,179.68
  6. Step 6: Final answer
    x = 37,173.56

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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.