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Finding the Fourth Proportional to 80,409.84, 120,591.72 and 27,096

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Solution

The fourth proportional to 80,409.84, 120,591.72 and 27,096 is: 40,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409.84 : 120,591.72 = 27,096 : x
  2. Step 2: Convert to fraction form
    80,409.84/120,591.72 = 27,096/x
  3. Step 3: Cross multiply
    80,409.84x = 120,591.72 × 27,096
  4. Step 4: Simplify right side
    80,409.84x = 3,267,553,245.12
  5. Step 5: Solve for x
    x = 3,267,553,245.12/80,409.84
  6. Step 6: Final answer
    x = 40,636.24

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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.