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Finding the Fourth Proportional to 89.78, 124.03 and 82.49

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Solution

The fourth proportional to 89.78, 124.03 and 82.49 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.78 : 124.03 = 82.49 : x
  2. Step 2: Convert to fraction form
    89.78/124.03 = 82.49/x
  3. Step 3: Cross multiply
    89.78x = 124.03 × 82.49
  4. Step 4: Simplify right side
    89.78x = 10,230.72
  5. Step 5: Solve for x
    x = 10,230.72/89.78
  6. Step 6: Final answer
    x = 113.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.