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Finding the Fourth Proportional to 92.10, 126.42 and 81.18

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Solution

The fourth proportional to 92.10, 126.42 and 81.18 is: 111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.10 : 126.42 = 81.18 : x
  2. Step 2: Convert to fraction form
    92.10/126.42 = 81.18/x
  3. Step 3: Cross multiply
    92.10x = 126.42 × 81.18
  4. Step 4: Simplify right side
    92.10x = 10,262.78
  5. Step 5: Solve for x
    x = 10,262.78/92.10
  6. Step 6: Final answer
    x = 111.43

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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.