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Finding the Fourth Proportional to 129,878.20, 194,819.22 and 36,378.04

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Solution

The fourth proportional to 129,878.20, 194,819.22 and 36,378.04 is: 54,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,878.20 : 194,819.22 = 36,378.04 : x
  2. Step 2: Convert to fraction form
    129,878.20/194,819.22 = 36,378.04/x
  3. Step 3: Cross multiply
    129,878.20x = 194,819.22 × 36,378.04
  4. Step 4: Simplify right side
    129,878.20x = 7,087,141,377.93
  5. Step 5: Solve for x
    x = 7,087,141,377.93/129,878.20
  6. Step 6: Final answer
    x = 54,567.60

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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.