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Finding the Fourth Proportional to 142.68, 195.72 and 134.40

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Solution

The fourth proportional to 142.68, 195.72 and 134.40 is: 184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.68 : 195.72 = 134.40 : x
  2. Step 2: Convert to fraction form
    142.68/195.72 = 134.40/x
  3. Step 3: Cross multiply
    142.68x = 195.72 × 134.40
  4. Step 4: Simplify right side
    142.68x = 26,304.77
  5. Step 5: Solve for x
    x = 26,304.77/142.68
  6. Step 6: Final answer
    x = 184.36

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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.