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Finding the Fourth Proportional to 124.54, 171.87 and 72.82

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Solution

The fourth proportional to 124.54, 171.87 and 72.82 is: 100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.54 : 171.87 = 72.82 : x
  2. Step 2: Convert to fraction form
    124.54/171.87 = 72.82/x
  3. Step 3: Cross multiply
    124.54x = 171.87 × 72.82
  4. Step 4: Simplify right side
    124.54x = 12,515.57
  5. Step 5: Solve for x
    x = 12,515.57/124.54
  6. Step 6: Final answer
    x = 100.49

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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.