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Finding the Fourth Proportional to 129,228.64, 193,793.76 and 84,843.52

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Solution

The fourth proportional to 129,228.64, 193,793.76 and 84,843.52 is: 127,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,228.64 : 193,793.76 = 84,843.52 : x
  2. Step 2: Convert to fraction form
    129,228.64/193,793.76 = 84,843.52/x
  3. Step 3: Cross multiply
    129,228.64x = 193,793.76 × 84,843.52
  4. Step 4: Simplify right side
    129,228.64x = 16,442,144,752.44
  5. Step 5: Solve for x
    x = 16,442,144,752.44/129,228.64
  6. Step 6: Final answer
    x = 127,232.98

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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.