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Finding the Fourth Proportional to 129,021.90, 193,532.85 and 34,251.90

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Solution

The fourth proportional to 129,021.90, 193,532.85 and 34,251.90 is: 51,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,021.90 : 193,532.85 = 34,251.90 : x
  2. Step 2: Convert to fraction form
    129,021.90/193,532.85 = 34,251.90/x
  3. Step 3: Cross multiply
    129,021.90x = 193,532.85 × 34,251.90
  4. Step 4: Simplify right side
    129,021.90x = 6,628,867,824.92
  5. Step 5: Solve for x
    x = 6,628,867,824.92/129,021.90
  6. Step 6: Final answer
    x = 51,377.85

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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.