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Finding the Fourth Proportional to 121.09, 166.74 and 103.47

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Solution

The fourth proportional to 121.09, 166.74 and 103.47 is: 142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.09 : 166.74 = 103.47 : x
  2. Step 2: Convert to fraction form
    121.09/166.74 = 103.47/x
  3. Step 3: Cross multiply
    121.09x = 166.74 × 103.47
  4. Step 4: Simplify right side
    121.09x = 17,252.20
  5. Step 5: Solve for x
    x = 17,252.20/121.09
  6. Step 6: Final answer
    x = 142.48

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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.