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Finding the Fourth Proportional to 142.14, 196.19 and 121.51

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Solution

The fourth proportional to 142.14, 196.19 and 121.51 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.14 : 196.19 = 121.51 : x
  2. Step 2: Convert to fraction form
    142.14/196.19 = 121.51/x
  3. Step 3: Cross multiply
    142.14x = 196.19 × 121.51
  4. Step 4: Simplify right side
    142.14x = 23,839.05
  5. Step 5: Solve for x
    x = 23,839.05/142.14
  6. Step 6: Final answer
    x = 167.72

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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.