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Finding the Fourth Proportional to 142.73, 196.83 and 103.65

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Solution

The fourth proportional to 142.73, 196.83 and 103.65 is: 142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.73 : 196.83 = 103.65 : x
  2. Step 2: Convert to fraction form
    142.73/196.83 = 103.65/x
  3. Step 3: Cross multiply
    142.73x = 196.83 × 103.65
  4. Step 4: Simplify right side
    142.73x = 20,401.43
  5. Step 5: Solve for x
    x = 20,401.43/142.73
  6. Step 6: Final answer
    x = 142.94

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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.