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Finding the Fourth Proportional to 80,119.74, 119,874.24 and 49,729.62

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Solution

The fourth proportional to 80,119.74, 119,874.24 and 49,729.62 is: 74,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,119.74 : 119,874.24 = 49,729.62 : x
  2. Step 2: Convert to fraction form
    80,119.74/119,874.24 = 49,729.62/x
  3. Step 3: Cross multiply
    80,119.74x = 119,874.24 × 49,729.62
  4. Step 4: Simplify right side
    80,119.74x = 5,961,300,402.99
  5. Step 5: Solve for x
    x = 5,961,300,402.99/80,119.74
  6. Step 6: Final answer
    x = 74,404.89

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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.