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Finding the Fourth Proportional to 142.09, 195.85 and 121.33

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Solution

The fourth proportional to 142.09, 195.85 and 121.33 is: 167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.09 : 195.85 = 121.33 : x
  2. Step 2: Convert to fraction form
    142.09/195.85 = 121.33/x
  3. Step 3: Cross multiply
    142.09x = 195.85 × 121.33
  4. Step 4: Simplify right side
    142.09x = 23,762.88
  5. Step 5: Solve for x
    x = 23,762.88/142.09
  6. Step 6: Final answer
    x = 167.24

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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.