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Finding the Fourth Proportional to 126.63, 174.83 and 89.78

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Solution

The fourth proportional to 126.63, 174.83 and 89.78 is: 123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.63 : 174.83 = 89.78 : x
  2. Step 2: Convert to fraction form
    126.63/174.83 = 89.78/x
  3. Step 3: Cross multiply
    126.63x = 174.83 × 89.78
  4. Step 4: Simplify right side
    126.63x = 15,694.91
  5. Step 5: Solve for x
    x = 15,694.91/126.63
  6. Step 6: Final answer
    x = 123.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.