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Finding the Fourth Proportional to 129,872.70, 194,711.85 and 70,775.10

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Solution

The fourth proportional to 129,872.70, 194,711.85 and 70,775.10 is: 106,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,872.70 : 194,711.85 = 70,775.10 : x
  2. Step 2: Convert to fraction form
    129,872.70/194,711.85 = 70,775.10/x
  3. Step 3: Cross multiply
    129,872.70x = 194,711.85 × 70,775.10
  4. Step 4: Simplify right side
    129,872.70x = 13,780,750,654.94
  5. Step 5: Solve for x
    x = 13,780,750,654.94/129,872.70
  6. Step 6: Final answer
    x = 106,109.68

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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.