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Finding the Fourth Proportional to 138.82, 207.23 and 125.74

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Solution

The fourth proportional to 138.82, 207.23 and 125.74 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.82 : 207.23 = 125.74 : x
  2. Step 2: Convert to fraction form
    138.82/207.23 = 125.74/x
  3. Step 3: Cross multiply
    138.82x = 207.23 × 125.74
  4. Step 4: Simplify right side
    138.82x = 26,057.10
  5. Step 5: Solve for x
    x = 26,057.10/138.82
  6. Step 6: Final answer
    x = 187.70

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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.