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Finding the Fourth Proportional to 80,124, 120,160.44 and 27,520.80

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Solution

The fourth proportional to 80,124, 120,160.44 and 27,520.80 is: 41,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,124 : 120,160.44 = 27,520.80 : x
  2. Step 2: Convert to fraction form
    80,124/120,160.44 = 27,520.80/x
  3. Step 3: Cross multiply
    80,124x = 120,160.44 × 27,520.80
  4. Step 4: Simplify right side
    80,124x = 3,306,911,437.15
  5. Step 5: Solve for x
    x = 3,306,911,437.15/80,124
  6. Step 6: Final answer
    x = 41,272.42

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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.