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Finding the Fourth Proportional to 142.13, 195.63 and 121.34

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Solution

The fourth proportional to 142.13, 195.63 and 121.34 is: 167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 195.63 = 121.34 : x
  2. Step 2: Convert to fraction form
    142.13/195.63 = 121.34/x
  3. Step 3: Cross multiply
    142.13x = 195.63 × 121.34
  4. Step 4: Simplify right side
    142.13x = 23,737.74
  5. Step 5: Solve for x
    x = 23,737.74/142.13
  6. Step 6: Final answer
    x = 167.01

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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.