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Finding the Fourth Proportional to 121.14, 166.95 and 92.07

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Solution

The fourth proportional to 121.14, 166.95 and 92.07 is: 126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.14 : 166.95 = 92.07 : x
  2. Step 2: Convert to fraction form
    121.14/166.95 = 92.07/x
  3. Step 3: Cross multiply
    121.14x = 166.95 × 92.07
  4. Step 4: Simplify right side
    121.14x = 15,371.09
  5. Step 5: Solve for x
    x = 15,371.09/121.14
  6. Step 6: Final answer
    x = 126.89

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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.