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Finding the Fourth Proportional to 142, 195.84 and 103.12

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Solution

The fourth proportional to 142, 195.84 and 103.12 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 195.84 = 103.12 : x
  2. Step 2: Convert to fraction form
    142/195.84 = 103.12/x
  3. Step 3: Cross multiply
    142x = 195.84 × 103.12
  4. Step 4: Simplify right side
    142x = 20,195.02
  5. Step 5: Solve for x
    x = 20,195.02/142
  6. Step 6: Final answer
    x = 142.22

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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.