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Finding the Fourth Proportional to 80,507.70, 120,624.39 and 52,384.86

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Solution

The fourth proportional to 80,507.70, 120,624.39 and 52,384.86 is: 78,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,507.70 : 120,624.39 = 52,384.86 : x
  2. Step 2: Convert to fraction form
    80,507.70/120,624.39 = 52,384.86/x
  3. Step 3: Cross multiply
    80,507.70x = 120,624.39 × 52,384.86
  4. Step 4: Simplify right side
    80,507.70x = 6,318,891,782.74
  5. Step 5: Solve for x
    x = 6,318,891,782.74/80,507.70
  6. Step 6: Final answer
    x = 78,488.04

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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.