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Finding the Fourth Proportional to 84.00, 125.81 and 83.07

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Solution

The fourth proportional to 84.00, 125.81 and 83.07 is: 124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.00 : 125.81 = 83.07 : x
  2. Step 2: Convert to fraction form
    84.00/125.81 = 83.07/x
  3. Step 3: Cross multiply
    84.00x = 125.81 × 83.07
  4. Step 4: Simplify right side
    84.00x = 10,451.56
  5. Step 5: Solve for x
    x = 10,451.56/84.00
  6. Step 6: Final answer
    x = 124.43

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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.