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Finding the Fourth Proportional to 92.24, 126.36 and 88.78

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Solution

The fourth proportional to 92.24, 126.36 and 88.78 is: 121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 126.36 = 88.78 : x
  2. Step 2: Convert to fraction form
    92.24/126.36 = 88.78/x
  3. Step 3: Cross multiply
    92.24x = 126.36 × 88.78
  4. Step 4: Simplify right side
    92.24x = 11,217.83
  5. Step 5: Solve for x
    x = 11,217.83/92.24
  6. Step 6: Final answer
    x = 121.62

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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.