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Finding the Fourth Proportional to 129.92, 195.63 and 95.90

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Solution

The fourth proportional to 129.92, 195.63 and 95.90 is: 144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.92 : 195.63 = 95.90 : x
  2. Step 2: Convert to fraction form
    129.92/195.63 = 95.90/x
  3. Step 3: Cross multiply
    129.92x = 195.63 × 95.90
  4. Step 4: Simplify right side
    129.92x = 18,760.92
  5. Step 5: Solve for x
    x = 18,760.92/129.92
  6. Step 6: Final answer
    x = 144.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.