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Finding the Fourth Proportional to 121.14, 166.86 and 105.57

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Solution

The fourth proportional to 121.14, 166.86 and 105.57 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.14 : 166.86 = 105.57 : x
  2. Step 2: Convert to fraction form
    121.14/166.86 = 105.57/x
  3. Step 3: Cross multiply
    121.14x = 166.86 × 105.57
  4. Step 4: Simplify right side
    121.14x = 17,615.41
  5. Step 5: Solve for x
    x = 17,615.41/121.14
  6. Step 6: Final answer
    x = 145.41

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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.