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Finding the Fourth Proportional to 130.61, 194.97 and 121.11

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Solution

The fourth proportional to 130.61, 194.97 and 121.11 is: 180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.61 : 194.97 = 121.11 : x
  2. Step 2: Convert to fraction form
    130.61/194.97 = 121.11/x
  3. Step 3: Cross multiply
    130.61x = 194.97 × 121.11
  4. Step 4: Simplify right side
    130.61x = 23,613.64
  5. Step 5: Solve for x
    x = 23,613.64/130.61
  6. Step 6: Final answer
    x = 180.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.