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Finding the Fourth Proportional to 129,805.52, 194,728.32 and 54,926.08

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Solution

The fourth proportional to 129,805.52, 194,728.32 and 54,926.08 is: 82,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,805.52 : 194,728.32 = 54,926.08 : x
  2. Step 2: Convert to fraction form
    129,805.52/194,728.32 = 54,926.08/x
  3. Step 3: Cross multiply
    129,805.52x = 194,728.32 × 54,926.08
  4. Step 4: Simplify right side
    129,805.52x = 10,695,663,282.59
  5. Step 5: Solve for x
    x = 10,695,663,282.59/129,805.52
  6. Step 6: Final answer
    x = 82,397.60

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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.