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Finding the Fourth Proportional to 121.60, 167.78 and 72.49

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Solution

The fourth proportional to 121.60, 167.78 and 72.49 is: 100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 167.78 = 72.49 : x
  2. Step 2: Convert to fraction form
    121.60/167.78 = 72.49/x
  3. Step 3: Cross multiply
    121.60x = 167.78 × 72.49
  4. Step 4: Simplify right side
    121.60x = 12,162.37
  5. Step 5: Solve for x
    x = 12,162.37/121.60
  6. Step 6: Final answer
    x = 100.02

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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.