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Finding the Fourth Proportional to 126.17, 190.30 and 111.14

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Solution

The fourth proportional to 126.17, 190.30 and 111.14 is: 167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.17 : 190.30 = 111.14 : x
  2. Step 2: Convert to fraction form
    126.17/190.30 = 111.14/x
  3. Step 3: Cross multiply
    126.17x = 190.30 × 111.14
  4. Step 4: Simplify right side
    126.17x = 21,148.71
  5. Step 5: Solve for x
    x = 21,148.71/126.17
  6. Step 6: Final answer
    x = 167.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.