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Finding the Fourth Proportional to 126.67, 190.01 and 41.17

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Solution

The fourth proportional to 126.67, 190.01 and 41.17 is: 61.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.67 : 190.01 = 41.17 : x
  2. Step 2: Convert to fraction form
    126.67/190.01 = 41.17/x
  3. Step 3: Cross multiply
    126.67x = 190.01 × 41.17
  4. Step 4: Simplify right side
    126.67x = 7,823.08
  5. Step 5: Solve for x
    x = 7,823.08/126.67
  6. Step 6: Final answer
    x = 61.76

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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.