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Finding the Fourth Proportional to 121.67, 167.86 and 84.81

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Solution

The fourth proportional to 121.67, 167.86 and 84.81 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.67 : 167.86 = 84.81 : x
  2. Step 2: Convert to fraction form
    121.67/167.86 = 84.81/x
  3. Step 3: Cross multiply
    121.67x = 167.86 × 84.81
  4. Step 4: Simplify right side
    121.67x = 14,235.78
  5. Step 5: Solve for x
    x = 14,235.78/121.67
  6. Step 6: Final answer
    x = 117.01

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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.