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Finding the Fourth Proportional to 126.23, 189 and 71.89

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Solution

The fourth proportional to 126.23, 189 and 71.89 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.23 : 189 = 71.89 : x
  2. Step 2: Convert to fraction form
    126.23/189 = 71.89/x
  3. Step 3: Cross multiply
    126.23x = 189 × 71.89
  4. Step 4: Simplify right side
    126.23x = 13,586.74
  5. Step 5: Solve for x
    x = 13,586.74/126.23
  6. Step 6: Final answer
    x = 107.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.