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Finding the Fourth Proportional to 95.71, 142.60 and 94.49

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Solution

The fourth proportional to 95.71, 142.60 and 94.49 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.71 : 142.60 = 94.49 : x
  2. Step 2: Convert to fraction form
    95.71/142.60 = 94.49/x
  3. Step 3: Cross multiply
    95.71x = 142.60 × 94.49
  4. Step 4: Simplify right side
    95.71x = 13,474.27
  5. Step 5: Solve for x
    x = 13,474.27/95.71
  6. Step 6: Final answer
    x = 140.78

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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.