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Finding the Fourth Proportional to 121.72, 167.80 and 84.92

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Solution

The fourth proportional to 121.72, 167.80 and 84.92 is: 117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.72 : 167.80 = 84.92 : x
  2. Step 2: Convert to fraction form
    121.72/167.80 = 84.92/x
  3. Step 3: Cross multiply
    121.72x = 167.80 × 84.92
  4. Step 4: Simplify right side
    121.72x = 14,249.58
  5. Step 5: Solve for x
    x = 14,249.58/121.72
  6. Step 6: Final answer
    x = 117.07

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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.