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Finding the Fourth Proportional to 84.01, 125.79 and 61.06

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Solution

The fourth proportional to 84.01, 125.79 and 61.06 is: 91.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.01 : 125.79 = 61.06 : x
  2. Step 2: Convert to fraction form
    84.01/125.79 = 61.06/x
  3. Step 3: Cross multiply
    84.01x = 125.79 × 61.06
  4. Step 4: Simplify right side
    84.01x = 7,680.74
  5. Step 5: Solve for x
    x = 7,680.74/84.01
  6. Step 6: Final answer
    x = 91.43

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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.