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Finding the Fourth Proportional to 126.50, 189.42 and 85.73

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Solution

The fourth proportional to 126.50, 189.42 and 85.73 is: 128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.50 : 189.42 = 85.73 : x
  2. Step 2: Convert to fraction form
    126.50/189.42 = 85.73/x
  3. Step 3: Cross multiply
    126.50x = 189.42 × 85.73
  4. Step 4: Simplify right side
    126.50x = 16,238.98
  5. Step 5: Solve for x
    x = 16,238.98/126.50
  6. Step 6: Final answer
    x = 128.37

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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.