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Finding the Fourth Proportional to 279,951.85, 420,101.92 and 113,739.85

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Solution

The fourth proportional to 279,951.85, 420,101.92 and 113,739.85 is: 170,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,951.85 : 420,101.92 = 113,739.85 : x
  2. Step 2: Convert to fraction form
    279,951.85/420,101.92 = 113,739.85/x
  3. Step 3: Cross multiply
    279,951.85x = 420,101.92 × 113,739.85
  4. Step 4: Simplify right side
    279,951.85x = 47,782,327,265.00
  5. Step 5: Solve for x
    x = 47,782,327,265.00/279,951.85
  6. Step 6: Final answer
    x = 170,680.52

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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.