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Finding the Fourth Proportional to 279,843.96, 419,642.42 and 80,119.02

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Solution

The fourth proportional to 279,843.96, 419,642.42 and 80,119.02 is: 120,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,843.96 : 419,642.42 = 80,119.02 : x
  2. Step 2: Convert to fraction form
    279,843.96/419,642.42 = 80,119.02/x
  3. Step 3: Cross multiply
    279,843.96x = 419,642.42 × 80,119.02
  4. Step 4: Simplify right side
    279,843.96x = 33,621,339,440.83
  5. Step 5: Solve for x
    x = 33,621,339,440.83/279,843.96
  6. Step 6: Final answer
    x = 120,143.17

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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.