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Finding the Fourth Proportional to 126.54, 173.36 and 121.68

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Solution

The fourth proportional to 126.54, 173.36 and 121.68 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.54 : 173.36 = 121.68 : x
  2. Step 2: Convert to fraction form
    126.54/173.36 = 121.68/x
  3. Step 3: Cross multiply
    126.54x = 173.36 × 121.68
  4. Step 4: Simplify right side
    126.54x = 21,094.75
  5. Step 5: Solve for x
    x = 21,094.75/126.54
  6. Step 6: Final answer
    x = 166.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.