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Finding the Fourth Proportional to 126.04, 188.07 and 105.79

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Solution

The fourth proportional to 126.04, 188.07 and 105.79 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.04 : 188.07 = 105.79 : x
  2. Step 2: Convert to fraction form
    126.04/188.07 = 105.79/x
  3. Step 3: Cross multiply
    126.04x = 188.07 × 105.79
  4. Step 4: Simplify right side
    126.04x = 19,895.93
  5. Step 5: Solve for x
    x = 19,895.93/126.04
  6. Step 6: Final answer
    x = 157.85

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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.