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Finding the Fourth Proportional to 126.24, 190.10 and 111.20

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Solution

The fourth proportional to 126.24, 190.10 and 111.20 is: 167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.24 : 190.10 = 111.20 : x
  2. Step 2: Convert to fraction form
    126.24/190.10 = 111.20/x
  3. Step 3: Cross multiply
    126.24x = 190.10 × 111.20
  4. Step 4: Simplify right side
    126.24x = 21,139.12
  5. Step 5: Solve for x
    x = 21,139.12/126.24
  6. Step 6: Final answer
    x = 167.45

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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.