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Finding the Fourth Proportional to 135,843.20, 203,764.80 and 113,863.85

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Solution

The fourth proportional to 135,843.20, 203,764.80 and 113,863.85 is: 170,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,843.20 : 203,764.80 = 113,863.85 : x
  2. Step 2: Convert to fraction form
    135,843.20/203,764.80 = 113,863.85/x
  3. Step 3: Cross multiply
    135,843.20x = 203,764.80 × 113,863.85
  4. Step 4: Simplify right side
    135,843.20x = 23,201,444,622.48
  5. Step 5: Solve for x
    x = 23,201,444,622.48/135,843.20
  6. Step 6: Final answer
    x = 170,795.78

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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.