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Finding the Fourth Proportional to 126.84, 190.23 and 81.48

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Solution

The fourth proportional to 126.84, 190.23 and 81.48 is: 122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.84 : 190.23 = 81.48 : x
  2. Step 2: Convert to fraction form
    126.84/190.23 = 81.48/x
  3. Step 3: Cross multiply
    126.84x = 190.23 × 81.48
  4. Step 4: Simplify right side
    126.84x = 15,499.94
  5. Step 5: Solve for x
    x = 15,499.94/126.84
  6. Step 6: Final answer
    x = 122.20

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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.