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Finding the Fourth Proportional to 126.54, 188.87 and 109.11

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Solution

The fourth proportional to 126.54, 188.87 and 109.11 is: 162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.54 : 188.87 = 109.11 : x
  2. Step 2: Convert to fraction form
    126.54/188.87 = 109.11/x
  3. Step 3: Cross multiply
    126.54x = 188.87 × 109.11
  4. Step 4: Simplify right side
    126.54x = 20,606.71
  5. Step 5: Solve for x
    x = 20,606.71/126.54
  6. Step 6: Final answer
    x = 162.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.