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Finding the Fourth Proportional to 101.16, 139.49 and 82.69

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Solution

The fourth proportional to 101.16, 139.49 and 82.69 is: 114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 139.49 = 82.69 : x
  2. Step 2: Convert to fraction form
    101.16/139.49 = 82.69/x
  3. Step 3: Cross multiply
    101.16x = 139.49 × 82.69
  4. Step 4: Simplify right side
    101.16x = 11,534.43
  5. Step 5: Solve for x
    x = 11,534.43/101.16
  6. Step 6: Final answer
    x = 114.02

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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.