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Finding the Fourth Proportional to 101.87, 140.49 and 86.37

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Solution

The fourth proportional to 101.87, 140.49 and 86.37 is: 119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.87 : 140.49 = 86.37 : x
  2. Step 2: Convert to fraction form
    101.87/140.49 = 86.37/x
  3. Step 3: Cross multiply
    101.87x = 140.49 × 86.37
  4. Step 4: Simplify right side
    101.87x = 12,134.12
  5. Step 5: Solve for x
    x = 12,134.12/101.87
  6. Step 6: Final answer
    x = 119.11

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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.