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Finding the Fourth Proportional to 80,471.78, 120,741.84 and 40,469.63

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Solution

The fourth proportional to 80,471.78, 120,741.84 and 40,469.63 is: 60,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471.78 : 120,741.84 = 40,469.63 : x
  2. Step 2: Convert to fraction form
    80,471.78/120,741.84 = 40,469.63/x
  3. Step 3: Cross multiply
    80,471.78x = 120,741.84 × 40,469.63
  4. Step 4: Simplify right side
    80,471.78x = 4,886,376,986.61
  5. Step 5: Solve for x
    x = 4,886,376,986.61/80,471.78
  6. Step 6: Final answer
    x = 60,721.62

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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.