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Finding the Fourth Proportional to 92.25, 126.78 and 83.14

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Solution

The fourth proportional to 92.25, 126.78 and 83.14 is: 114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 126.78 = 83.14 : x
  2. Step 2: Convert to fraction form
    92.25/126.78 = 83.14/x
  3. Step 3: Cross multiply
    92.25x = 126.78 × 83.14
  4. Step 4: Simplify right side
    92.25x = 10,540.49
  5. Step 5: Solve for x
    x = 10,540.49/92.25
  6. Step 6: Final answer
    x = 114.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.