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Finding the Fourth Proportional to 142.02, 195.91 and 126.28

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Solution

The fourth proportional to 142.02, 195.91 and 126.28 is: 174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.02 : 195.91 = 126.28 : x
  2. Step 2: Convert to fraction form
    142.02/195.91 = 126.28/x
  3. Step 3: Cross multiply
    142.02x = 195.91 × 126.28
  4. Step 4: Simplify right side
    142.02x = 24,739.51
  5. Step 5: Solve for x
    x = 24,739.51/142.02
  6. Step 6: Final answer
    x = 174.20

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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.