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Finding the Fourth Proportional to 135,909.20, 203,863.80 and 100,917.20

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Solution

The fourth proportional to 135,909.20, 203,863.80 and 100,917.20 is: 151,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,909.20 : 203,863.80 = 100,917.20 : x
  2. Step 2: Convert to fraction form
    135,909.20/203,863.80 = 100,917.20/x
  3. Step 3: Cross multiply
    135,909.20x = 203,863.80 × 100,917.20
  4. Step 4: Simplify right side
    135,909.20x = 20,573,363,877.36
  5. Step 5: Solve for x
    x = 20,573,363,877.36/135,909.20
  6. Step 6: Final answer
    x = 151,375.80

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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.