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Finding the Fourth Proportional to 142.01, 195.99 and 103.13

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Solution

The fourth proportional to 142.01, 195.99 and 103.13 is: 142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.01 : 195.99 = 103.13 : x
  2. Step 2: Convert to fraction form
    142.01/195.99 = 103.13/x
  3. Step 3: Cross multiply
    142.01x = 195.99 × 103.13
  4. Step 4: Simplify right side
    142.01x = 20,212.45
  5. Step 5: Solve for x
    x = 20,212.45/142.01
  6. Step 6: Final answer
    x = 142.33

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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.