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Finding the Fourth Proportional to 95.12, 142.18 and 78.80

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Solution

The fourth proportional to 95.12, 142.18 and 78.80 is: 117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.12 : 142.18 = 78.80 : x
  2. Step 2: Convert to fraction form
    95.12/142.18 = 78.80/x
  3. Step 3: Cross multiply
    95.12x = 142.18 × 78.80
  4. Step 4: Simplify right side
    95.12x = 11,203.78
  5. Step 5: Solve for x
    x = 11,203.78/95.12
  6. Step 6: Final answer
    x = 117.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.