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Finding the Fourth Proportional to 143.64, 198.22 and 78.14

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Solution

The fourth proportional to 143.64, 198.22 and 78.14 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.64 : 198.22 = 78.14 : x
  2. Step 2: Convert to fraction form
    143.64/198.22 = 78.14/x
  3. Step 3: Cross multiply
    143.64x = 198.22 × 78.14
  4. Step 4: Simplify right side
    143.64x = 15,487.53
  5. Step 5: Solve for x
    x = 15,487.53/143.64
  6. Step 6: Final answer
    x = 107.83

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Why These Related Problems?

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