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Finding the Fourth Proportional to 138.93, 209.36 and 125.57

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Solution

The fourth proportional to 138.93, 209.36 and 125.57 is: 189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.93 : 209.36 = 125.57 : x
  2. Step 2: Convert to fraction form
    138.93/209.36 = 125.57/x
  3. Step 3: Cross multiply
    138.93x = 209.36 × 125.57
  4. Step 4: Simplify right side
    138.93x = 26,287.66
  5. Step 5: Solve for x
    x = 26,287.66/138.93
  6. Step 6: Final answer
    x = 189.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.