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Finding the Fourth Proportional to 126.70, 189.09 and 113.03

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Solution

The fourth proportional to 126.70, 189.09 and 113.03 is: 168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.70 : 189.09 = 113.03 : x
  2. Step 2: Convert to fraction form
    126.70/189.09 = 113.03/x
  3. Step 3: Cross multiply
    126.70x = 189.09 × 113.03
  4. Step 4: Simplify right side
    126.70x = 21,372.84
  5. Step 5: Solve for x
    x = 21,372.84/126.70
  6. Step 6: Final answer
    x = 168.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.