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Finding the Fourth Proportional to 101.43, 139.82 and 78.21

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Solution

The fourth proportional to 101.43, 139.82 and 78.21 is: 107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.43 : 139.82 = 78.21 : x
  2. Step 2: Convert to fraction form
    101.43/139.82 = 78.21/x
  3. Step 3: Cross multiply
    101.43x = 139.82 × 78.21
  4. Step 4: Simplify right side
    101.43x = 10,935.32
  5. Step 5: Solve for x
    x = 10,935.32/101.43
  6. Step 6: Final answer
    x = 107.81

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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.