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Finding the Fourth Proportional to 92.13, 127.39 and 87.82

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Solution

The fourth proportional to 92.13, 127.39 and 87.82 is: 121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.13 : 127.39 = 87.82 : x
  2. Step 2: Convert to fraction form
    92.13/127.39 = 87.82/x
  3. Step 3: Cross multiply
    92.13x = 127.39 × 87.82
  4. Step 4: Simplify right side
    92.13x = 11,187.39
  5. Step 5: Solve for x
    x = 11,187.39/92.13
  6. Step 6: Final answer
    x = 121.43

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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.