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Finding the Fourth Proportional to 125.92, 189.67 and 124.24

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Solution

The fourth proportional to 125.92, 189.67 and 124.24 is: 187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.92 : 189.67 = 124.24 : x
  2. Step 2: Convert to fraction form
    125.92/189.67 = 124.24/x
  3. Step 3: Cross multiply
    125.92x = 189.67 × 124.24
  4. Step 4: Simplify right side
    125.92x = 23,564.60
  5. Step 5: Solve for x
    x = 23,564.60/125.92
  6. Step 6: Final answer
    x = 187.14

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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.