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Finding the Fourth Proportional to 142.22, 212.15 and 125.82

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Solution

The fourth proportional to 142.22, 212.15 and 125.82 is: 187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.22 : 212.15 = 125.82 : x
  2. Step 2: Convert to fraction form
    142.22/212.15 = 125.82/x
  3. Step 3: Cross multiply
    142.22x = 212.15 × 125.82
  4. Step 4: Simplify right side
    142.22x = 26,693.03
  5. Step 5: Solve for x
    x = 26,693.03/142.22
  6. Step 6: Final answer
    x = 187.68

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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.