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Finding the Fourth Proportional to 126.05, 188.08 and 113.06

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Solution

The fourth proportional to 126.05, 188.08 and 113.06 is: 168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.05 : 188.08 = 113.06 : x
  2. Step 2: Convert to fraction form
    126.05/188.08 = 113.06/x
  3. Step 3: Cross multiply
    126.05x = 188.08 × 113.06
  4. Step 4: Simplify right side
    126.05x = 21,264.51
  5. Step 5: Solve for x
    x = 21,264.51/126.05
  6. Step 6: Final answer
    x = 168.71

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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.