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Finding the Fourth Proportional to 121.04, 167.12 and 84.32

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Solution

The fourth proportional to 121.04, 167.12 and 84.32 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.04 : 167.12 = 84.32 : x
  2. Step 2: Convert to fraction form
    121.04/167.12 = 84.32/x
  3. Step 3: Cross multiply
    121.04x = 167.12 × 84.32
  4. Step 4: Simplify right side
    121.04x = 14,091.56
  5. Step 5: Solve for x
    x = 14,091.56/121.04
  6. Step 6: Final answer
    x = 116.42

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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.