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Finding the Fourth Proportional to 80,523.30, 120,721.41 and 50,878.65

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Solution

The fourth proportional to 80,523.30, 120,721.41 and 50,878.65 is: 76,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,523.30 : 120,721.41 = 50,878.65 : x
  2. Step 2: Convert to fraction form
    80,523.30/120,721.41 = 50,878.65/x
  3. Step 3: Cross multiply
    80,523.30x = 120,721.41 × 50,878.65
  4. Step 4: Simplify right side
    80,523.30x = 6,142,142,366.90
  5. Step 5: Solve for x
    x = 6,142,142,366.90/80,523.30
  6. Step 6: Final answer
    x = 76,277.83

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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.