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Finding the Fourth Proportional to 101.43, 140.00 and 78.18

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Solution

The fourth proportional to 101.43, 140.00 and 78.18 is: 107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.43 : 140.00 = 78.18 : x
  2. Step 2: Convert to fraction form
    101.43/140.00 = 78.18/x
  3. Step 3: Cross multiply
    101.43x = 140.00 × 78.18
  4. Step 4: Simplify right side
    101.43x = 10,944.81
  5. Step 5: Solve for x
    x = 10,944.81/101.43
  6. Step 6: Final answer
    x = 107.91

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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.