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Finding the Fourth Proportional to 124.82, 186.88 and 81.54

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Solution

The fourth proportional to 124.82, 186.88 and 81.54 is: 122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.82 : 186.88 = 81.54 : x
  2. Step 2: Convert to fraction form
    124.82/186.88 = 81.54/x
  3. Step 3: Cross multiply
    124.82x = 186.88 × 81.54
  4. Step 4: Simplify right side
    124.82x = 15,237.52
  5. Step 5: Solve for x
    x = 15,237.52/124.82
  6. Step 6: Final answer
    x = 122.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.