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Finding the Fourth Proportional to 92.31, 126.69 and 81.81

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Solution

The fourth proportional to 92.31, 126.69 and 81.81 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 126.69 = 81.81 : x
  2. Step 2: Convert to fraction form
    92.31/126.69 = 81.81/x
  3. Step 3: Cross multiply
    92.31x = 126.69 × 81.81
  4. Step 4: Simplify right side
    92.31x = 10,364.51
  5. Step 5: Solve for x
    x = 10,364.51/92.31
  6. Step 6: Final answer
    x = 112.28

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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.