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Finding the Fourth Proportional to 129,689.80, 194,551.71 and 50,793.78

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Solution

The fourth proportional to 129,689.80, 194,551.71 and 50,793.78 is: 76,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,689.80 : 194,551.71 = 50,793.78 : x
  2. Step 2: Convert to fraction form
    129,689.80/194,551.71 = 50,793.78/x
  3. Step 3: Cross multiply
    129,689.80x = 194,551.71 × 50,793.78
  4. Step 4: Simplify right side
    129,689.80x = 9,882,016,756.36
  5. Step 5: Solve for x
    x = 9,882,016,756.36/129,689.80
  6. Step 6: Final answer
    x = 76,197.33

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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.