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Finding the Fourth Proportional to 129.14, 177.90 and 121.94

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Solution

The fourth proportional to 129.14, 177.90 and 121.94 is: 167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.14 : 177.90 = 121.94 : x
  2. Step 2: Convert to fraction form
    129.14/177.90 = 121.94/x
  3. Step 3: Cross multiply
    129.14x = 177.90 × 121.94
  4. Step 4: Simplify right side
    129.14x = 21,693.13
  5. Step 5: Solve for x
    x = 21,693.13/129.14
  6. Step 6: Final answer
    x = 167.98

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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.