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Finding the Fourth Proportional to 138.23, 191.01 and 125.87

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Solution

The fourth proportional to 138.23, 191.01 and 125.87 is: 173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.23 : 191.01 = 125.87 : x
  2. Step 2: Convert to fraction form
    138.23/191.01 = 125.87/x
  3. Step 3: Cross multiply
    138.23x = 191.01 × 125.87
  4. Step 4: Simplify right side
    138.23x = 24,041.47
  5. Step 5: Solve for x
    x = 24,041.47/138.23
  6. Step 6: Final answer
    x = 173.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.