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Finding the Fourth Proportional to 126, 188.16 and 105.54

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Solution

The fourth proportional to 126, 188.16 and 105.54 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 188.16 = 105.54 : x
  2. Step 2: Convert to fraction form
    126/188.16 = 105.54/x
  3. Step 3: Cross multiply
    126x = 188.16 × 105.54
  4. Step 4: Simplify right side
    126x = 19,858.41
  5. Step 5: Solve for x
    x = 19,858.41/126
  6. Step 6: Final answer
    x = 157.61

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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.