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Finding the Fourth Proportional to 129,667, 194,500.52 and 42,115

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Solution

The fourth proportional to 129,667, 194,500.52 and 42,115 is: 63,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,667 : 194,500.52 = 42,115 : x
  2. Step 2: Convert to fraction form
    129,667/194,500.52 = 42,115/x
  3. Step 3: Cross multiply
    129,667x = 194,500.52 × 42,115
  4. Step 4: Simplify right side
    129,667x = 8,191,389,399.80
  5. Step 5: Solve for x
    x = 8,191,389,399.80/129,667
  6. Step 6: Final answer
    x = 63,172.51

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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.