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Finding the Fourth Proportional to 78.21, 107.66 and 67.70

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Solution

The fourth proportional to 78.21, 107.66 and 67.70 is: 93.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.21 : 107.66 = 67.70 : x
  2. Step 2: Convert to fraction form
    78.21/107.66 = 67.70/x
  3. Step 3: Cross multiply
    78.21x = 107.66 × 67.70
  4. Step 4: Simplify right side
    78.21x = 7,288.24
  5. Step 5: Solve for x
    x = 7,288.24/78.21
  6. Step 6: Final answer
    x = 93.19

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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.