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Finding the Fourth Proportional to 88.54, 122.24 and 82.41

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Solution

The fourth proportional to 88.54, 122.24 and 82.41 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.54 : 122.24 = 82.41 : x
  2. Step 2: Convert to fraction form
    88.54/122.24 = 82.41/x
  3. Step 3: Cross multiply
    88.54x = 122.24 × 82.41
  4. Step 4: Simplify right side
    88.54x = 10,073.54
  5. Step 5: Solve for x
    x = 10,073.54/88.54
  6. Step 6: Final answer
    x = 113.78

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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.