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Finding the Fourth Proportional to 129,638.70, 194,468.04 and 49,714.95

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Solution

The fourth proportional to 129,638.70, 194,468.04 and 49,714.95 is: 74,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638.70 : 194,468.04 = 49,714.95 : x
  2. Step 2: Convert to fraction form
    129,638.70/194,468.04 = 49,714.95/x
  3. Step 3: Cross multiply
    129,638.70x = 194,468.04 × 49,714.95
  4. Step 4: Simplify right side
    129,638.70x = 9,667,969,340.98
  5. Step 5: Solve for x
    x = 9,667,969,340.98/129,638.70
  6. Step 6: Final answer
    x = 74,576.26

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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.