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Finding the Fourth Proportional to 144.12, 214.96 and 125.96

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Solution

The fourth proportional to 144.12, 214.96 and 125.96 is: 187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 214.96 = 125.96 : x
  2. Step 2: Convert to fraction form
    144.12/214.96 = 125.96/x
  3. Step 3: Cross multiply
    144.12x = 214.96 × 125.96
  4. Step 4: Simplify right side
    144.12x = 27,076.36
  5. Step 5: Solve for x
    x = 27,076.36/144.12
  6. Step 6: Final answer
    x = 187.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.