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Finding the Fourth Proportional to 101.42, 139.82 and 73.82

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Solution

The fourth proportional to 101.42, 139.82 and 73.82 is: 101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.42 : 139.82 = 73.82 : x
  2. Step 2: Convert to fraction form
    101.42/139.82 = 73.82/x
  3. Step 3: Cross multiply
    101.42x = 139.82 × 73.82
  4. Step 4: Simplify right side
    101.42x = 10,320.44
  5. Step 5: Solve for x
    x = 10,320.44/101.42
  6. Step 6: Final answer
    x = 101.76

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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.