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Finding the Fourth Proportional to 279,765.36, 419,648.07 and 80,086.47

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Solution

The fourth proportional to 279,765.36, 419,648.07 and 80,086.47 is: 120,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,765.36 : 419,648.07 = 80,086.47 : x
  2. Step 2: Convert to fraction form
    279,765.36/419,648.07 = 80,086.47/x
  3. Step 3: Cross multiply
    279,765.36x = 419,648.07 × 80,086.47
  4. Step 4: Simplify right side
    279,765.36x = 33,608,132,568.61
  5. Step 5: Solve for x
    x = 33,608,132,568.61/279,765.36
  6. Step 6: Final answer
    x = 120,129.71

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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.