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Finding the Fourth Proportional to 121.54, 167.66 and 72.40

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Solution

The fourth proportional to 121.54, 167.66 and 72.40 is: 99.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.54 : 167.66 = 72.40 : x
  2. Step 2: Convert to fraction form
    121.54/167.66 = 72.40/x
  3. Step 3: Cross multiply
    121.54x = 167.66 × 72.40
  4. Step 4: Simplify right side
    121.54x = 12,138.58
  5. Step 5: Solve for x
    x = 12,138.58/121.54
  6. Step 6: Final answer
    x = 99.87

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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.