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Finding the Fourth Proportional to 95.78, 144.20 and 71.92

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Solution

The fourth proportional to 95.78, 144.20 and 71.92 is: 108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.78 : 144.20 = 71.92 : x
  2. Step 2: Convert to fraction form
    95.78/144.20 = 71.92/x
  3. Step 3: Cross multiply
    95.78x = 144.20 × 71.92
  4. Step 4: Simplify right side
    95.78x = 10,370.86
  5. Step 5: Solve for x
    x = 10,370.86/95.78
  6. Step 6: Final answer
    x = 108.28

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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.