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Finding the Fourth Proportional to 129,540.94, 194,227.91 and 54,641.05

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Solution

The fourth proportional to 129,540.94, 194,227.91 and 54,641.05 is: 81,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,540.94 : 194,227.91 = 54,641.05 : x
  2. Step 2: Convert to fraction form
    129,540.94/194,227.91 = 54,641.05/x
  3. Step 3: Cross multiply
    129,540.94x = 194,227.91 × 54,641.05
  4. Step 4: Simplify right side
    129,540.94x = 10,612,816,387.83
  5. Step 5: Solve for x
    x = 10,612,816,387.83/129,540.94
  6. Step 6: Final answer
    x = 81,926.35

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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.