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Finding the Fourth Proportional to 92.28, 127.24 and 81.90

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Solution

The fourth proportional to 92.28, 127.24 and 81.90 is: 112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.28 : 127.24 = 81.90 : x
  2. Step 2: Convert to fraction form
    92.28/127.24 = 81.90/x
  3. Step 3: Cross multiply
    92.28x = 127.24 × 81.90
  4. Step 4: Simplify right side
    92.28x = 10,420.75
  5. Step 5: Solve for x
    x = 10,420.75/92.28
  6. Step 6: Final answer
    x = 112.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.