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Finding the Fourth Proportional to 126.05, 188.99 and 57.48

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Solution

The fourth proportional to 126.05, 188.99 and 57.48 is: 86.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.05 : 188.99 = 57.48 : x
  2. Step 2: Convert to fraction form
    126.05/188.99 = 57.48/x
  3. Step 3: Cross multiply
    126.05x = 188.99 × 57.48
  4. Step 4: Simplify right side
    126.05x = 10,863.15
  5. Step 5: Solve for x
    x = 10,863.15/126.05
  6. Step 6: Final answer
    x = 86.18

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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.