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Finding the Fourth Proportional to 138.97, 191.64 and 125.30

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Solution

The fourth proportional to 138.97, 191.64 and 125.30 is: 172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.97 : 191.64 = 125.30 : x
  2. Step 2: Convert to fraction form
    138.97/191.64 = 125.30/x
  3. Step 3: Cross multiply
    138.97x = 191.64 × 125.30
  4. Step 4: Simplify right side
    138.97x = 24,011.53
  5. Step 5: Solve for x
    x = 24,011.53/138.97
  6. Step 6: Final answer
    x = 172.79

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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.