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Finding the Fourth Proportional to 129,695.20, 194,434.80 and 54,872.80

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Solution

The fourth proportional to 129,695.20, 194,434.80 and 54,872.80 is: 82,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,695.20 : 194,434.80 = 54,872.80 : x
  2. Step 2: Convert to fraction form
    129,695.20/194,434.80 = 54,872.80/x
  3. Step 3: Cross multiply
    129,695.20x = 194,434.80 × 54,872.80
  4. Step 4: Simplify right side
    129,695.20x = 10,669,181,893.44
  5. Step 5: Solve for x
    x = 10,669,181,893.44/129,695.20
  6. Step 6: Final answer
    x = 82,263.51

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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.