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Finding the Fourth Proportional to 279,882.30, 419,697.09 and 80,156.97

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Solution

The fourth proportional to 279,882.30, 419,697.09 and 80,156.97 is: 120,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,882.30 : 419,697.09 = 80,156.97 : x
  2. Step 2: Convert to fraction form
    279,882.30/419,697.09 = 80,156.97/x
  3. Step 3: Cross multiply
    279,882.30x = 419,697.09 × 80,156.97
  4. Step 4: Simplify right side
    279,882.30x = 33,641,647,052.22
  5. Step 5: Solve for x
    x = 33,641,647,052.22/279,882.30
  6. Step 6: Final answer
    x = 120,199.27

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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.