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Finding the Fourth Proportional to 125.67, 189.21 and 112.44

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Solution

The fourth proportional to 125.67, 189.21 and 112.44 is: 169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.67 : 189.21 = 112.44 : x
  2. Step 2: Convert to fraction form
    125.67/189.21 = 112.44/x
  3. Step 3: Cross multiply
    125.67x = 189.21 × 112.44
  4. Step 4: Simplify right side
    125.67x = 21,274.77
  5. Step 5: Solve for x
    x = 21,274.77/125.67
  6. Step 6: Final answer
    x = 169.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.