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Finding the Fourth Proportional to 95.25, 142.14 and 83.71

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Solution

The fourth proportional to 95.25, 142.14 and 83.71 is: 124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.25 : 142.14 = 83.71 : x
  2. Step 2: Convert to fraction form
    95.25/142.14 = 83.71/x
  3. Step 3: Cross multiply
    95.25x = 142.14 × 83.71
  4. Step 4: Simplify right side
    95.25x = 11,898.54
  5. Step 5: Solve for x
    x = 11,898.54/95.25
  6. Step 6: Final answer
    x = 124.92

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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.