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Finding the Fourth Proportional to 125.62, 189.50 and 112.26

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Solution

The fourth proportional to 125.62, 189.50 and 112.26 is: 169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.62 : 189.50 = 112.26 : x
  2. Step 2: Convert to fraction form
    125.62/189.50 = 112.26/x
  3. Step 3: Cross multiply
    125.62x = 189.50 × 112.26
  4. Step 4: Simplify right side
    125.62x = 21,273.27
  5. Step 5: Solve for x
    x = 21,273.27/125.62
  6. Step 6: Final answer
    x = 169.35

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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.