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Finding the Fourth Proportional to 126.98, 189.63 and 110.78

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Solution

The fourth proportional to 126.98, 189.63 and 110.78 is: 165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.98 : 189.63 = 110.78 : x
  2. Step 2: Convert to fraction form
    126.98/189.63 = 110.78/x
  3. Step 3: Cross multiply
    126.98x = 189.63 × 110.78
  4. Step 4: Simplify right side
    126.98x = 21,007.21
  5. Step 5: Solve for x
    x = 21,007.21/126.98
  6. Step 6: Final answer
    x = 165.44

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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.