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Finding the Fourth Proportional to 121.05, 166.97 and 84.14

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Solution

The fourth proportional to 121.05, 166.97 and 84.14 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.05 : 166.97 = 84.14 : x
  2. Step 2: Convert to fraction form
    121.05/166.97 = 84.14/x
  3. Step 3: Cross multiply
    121.05x = 166.97 × 84.14
  4. Step 4: Simplify right side
    121.05x = 14,047.60
  5. Step 5: Solve for x
    x = 14,047.60/121.05
  6. Step 6: Final answer
    x = 116.05

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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.