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Finding the Fourth Proportional to 92.43, 126.77 and 81.50

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Solution

The fourth proportional to 92.43, 126.77 and 81.50 is: 111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.43 : 126.77 = 81.50 : x
  2. Step 2: Convert to fraction form
    92.43/126.77 = 81.50/x
  3. Step 3: Cross multiply
    92.43x = 126.77 × 81.50
  4. Step 4: Simplify right side
    92.43x = 10,331.32
  5. Step 5: Solve for x
    x = 10,331.32/92.43
  6. Step 6: Final answer
    x = 111.77

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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.