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Finding the Fourth Proportional to 279,882.48, 419,846.32 and 87,743.76

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Solution

The fourth proportional to 279,882.48, 419,846.32 and 87,743.76 is: 131,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,882.48 : 419,846.32 = 87,743.76 : x
  2. Step 2: Convert to fraction form
    279,882.48/419,846.32 = 87,743.76/x
  3. Step 3: Cross multiply
    279,882.48x = 419,846.32 × 87,743.76
  4. Step 4: Simplify right side
    279,882.48x = 36,838,894,738.96
  5. Step 5: Solve for x
    x = 36,838,894,738.96/279,882.48
  6. Step 6: Final answer
    x = 131,622.73

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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.