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Finding the Fourth Proportional to 101.19, 139.15 and 82.72

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Solution

The fourth proportional to 101.19, 139.15 and 82.72 is: 113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.19 : 139.15 = 82.72 : x
  2. Step 2: Convert to fraction form
    101.19/139.15 = 82.72/x
  3. Step 3: Cross multiply
    101.19x = 139.15 × 82.72
  4. Step 4: Simplify right side
    101.19x = 11,510.49
  5. Step 5: Solve for x
    x = 11,510.49/101.19
  6. Step 6: Final answer
    x = 113.75

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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.