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Finding the Fourth Proportional to 126.14, 189.06 and 57.60

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Solution

The fourth proportional to 126.14, 189.06 and 57.60 is: 86.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 189.06 = 57.60 : x
  2. Step 2: Convert to fraction form
    126.14/189.06 = 57.60/x
  3. Step 3: Cross multiply
    126.14x = 189.06 × 57.60
  4. Step 4: Simplify right side
    126.14x = 10,889.86
  5. Step 5: Solve for x
    x = 10,889.86/126.14
  6. Step 6: Final answer
    x = 86.33

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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.