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Finding the Fourth Proportional to 125.39, 188.01 and 81.95

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Solution

The fourth proportional to 125.39, 188.01 and 81.95 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.39 : 188.01 = 81.95 : x
  2. Step 2: Convert to fraction form
    125.39/188.01 = 81.95/x
  3. Step 3: Cross multiply
    125.39x = 188.01 × 81.95
  4. Step 4: Simplify right side
    125.39x = 15,406.48
  5. Step 5: Solve for x
    x = 15,406.48/125.39
  6. Step 6: Final answer
    x = 122.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.