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Finding the Fourth Proportional to 221,691.60, 305,934.80 and 126,198.32

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Solution

The fourth proportional to 221,691.60, 305,934.80 and 126,198.32 is: 174,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,691.60 : 305,934.80 = 126,198.32 : x
  2. Step 2: Convert to fraction form
    221,691.60/305,934.80 = 126,198.32/x
  3. Step 3: Cross multiply
    221,691.60x = 305,934.80 × 126,198.32
  4. Step 4: Simplify right side
    221,691.60x = 38,608,457,789.54
  5. Step 5: Solve for x
    x = 38,608,457,789.54/221,691.60
  6. Step 6: Final answer
    x = 174,153.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.