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Finding the Fourth Proportional to 129.32, 194 and 75.20

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Solution

The fourth proportional to 129.32, 194 and 75.20 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 194 = 75.20 : x
  2. Step 2: Convert to fraction form
    129.32/194 = 75.20/x
  3. Step 3: Cross multiply
    129.32x = 194 × 75.20
  4. Step 4: Simplify right side
    129.32x = 14,588.80
  5. Step 5: Solve for x
    x = 14,588.80/129.32
  6. Step 6: Final answer
    x = 112.81

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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.