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Finding the Fourth Proportional to 142.18, 195.04 and 133.90

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Solution

The fourth proportional to 142.18, 195.04 and 133.90 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.18 : 195.04 = 133.90 : x
  2. Step 2: Convert to fraction form
    142.18/195.04 = 133.90/x
  3. Step 3: Cross multiply
    142.18x = 195.04 × 133.90
  4. Step 4: Simplify right side
    142.18x = 26,115.86
  5. Step 5: Solve for x
    x = 26,115.86/142.18
  6. Step 6: Final answer
    x = 183.68

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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.