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Finding the Fourth Proportional to 126.93, 190.49 and 72.75

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Solution

The fourth proportional to 126.93, 190.49 and 72.75 is: 109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.93 : 190.49 = 72.75 : x
  2. Step 2: Convert to fraction form
    126.93/190.49 = 72.75/x
  3. Step 3: Cross multiply
    126.93x = 190.49 × 72.75
  4. Step 4: Simplify right side
    126.93x = 13,857.78
  5. Step 5: Solve for x
    x = 13,857.78/126.93
  6. Step 6: Final answer
    x = 109.18

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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.