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Finding the Fourth Proportional to 129.40, 195.08 and 121.57

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Solution

The fourth proportional to 129.40, 195.08 and 121.57 is: 183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 195.08 = 121.57 : x
  2. Step 2: Convert to fraction form
    129.40/195.08 = 121.57/x
  3. Step 3: Cross multiply
    129.40x = 195.08 × 121.57
  4. Step 4: Simplify right side
    129.40x = 23,714.78
  5. Step 5: Solve for x
    x = 23,714.78/129.40
  6. Step 6: Final answer
    x = 183.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.