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Finding the Fourth Proportional to 142.19, 195.09 and 134.45

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Solution

The fourth proportional to 142.19, 195.09 and 134.45 is: 184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 195.09 = 134.45 : x
  2. Step 2: Convert to fraction form
    142.19/195.09 = 134.45/x
  3. Step 3: Cross multiply
    142.19x = 195.09 × 134.45
  4. Step 4: Simplify right side
    142.19x = 26,229.85
  5. Step 5: Solve for x
    x = 26,229.85/142.19
  6. Step 6: Final answer
    x = 184.47

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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.