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Finding the Fourth Proportional to 143.56, 198.12 and 78.07

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Solution

The fourth proportional to 143.56, 198.12 and 78.07 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.56 : 198.12 = 78.07 : x
  2. Step 2: Convert to fraction form
    143.56/198.12 = 78.07/x
  3. Step 3: Cross multiply
    143.56x = 198.12 × 78.07
  4. Step 4: Simplify right side
    143.56x = 15,466.96
  5. Step 5: Solve for x
    x = 15,466.96/143.56
  6. Step 6: Final answer
    x = 107.74

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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.