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Finding the Fourth Proportional to 80,624.16, 120,936.24 and 66,744

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Solution

The fourth proportional to 80,624.16, 120,936.24 and 66,744 is: 100,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,624.16 : 120,936.24 = 66,744 : x
  2. Step 2: Convert to fraction form
    80,624.16/120,936.24 = 66,744/x
  3. Step 3: Cross multiply
    80,624.16x = 120,936.24 × 66,744
  4. Step 4: Simplify right side
    80,624.16x = 8,071,768,402.56
  5. Step 5: Solve for x
    x = 8,071,768,402.56/80,624.16
  6. Step 6: Final answer
    x = 100,116

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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.