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Finding the Fourth Proportional to 84.01, 126.03 and 59.65

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Solution

The fourth proportional to 84.01, 126.03 and 59.65 is: 89.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.01 : 126.03 = 59.65 : x
  2. Step 2: Convert to fraction form
    84.01/126.03 = 59.65/x
  3. Step 3: Cross multiply
    84.01x = 126.03 × 59.65
  4. Step 4: Simplify right side
    84.01x = 7,517.69
  5. Step 5: Solve for x
    x = 7,517.69/84.01
  6. Step 6: Final answer
    x = 89.49

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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.