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Finding the Fourth Proportional to 101.42, 140.15 and 76.81

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Solution

The fourth proportional to 101.42, 140.15 and 76.81 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.42 : 140.15 = 76.81 : x
  2. Step 2: Convert to fraction form
    101.42/140.15 = 76.81/x
  3. Step 3: Cross multiply
    101.42x = 140.15 × 76.81
  4. Step 4: Simplify right side
    101.42x = 10,764.54
  5. Step 5: Solve for x
    x = 10,764.54/101.42
  6. Step 6: Final answer
    x = 106.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.