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Finding the Fourth Proportional to 142.73, 196.71 and 105.98

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Solution

The fourth proportional to 142.73, 196.71 and 105.98 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.73 : 196.71 = 105.98 : x
  2. Step 2: Convert to fraction form
    142.73/196.71 = 105.98/x
  3. Step 3: Cross multiply
    142.73x = 196.71 × 105.98
  4. Step 4: Simplify right side
    142.73x = 20,846.34
  5. Step 5: Solve for x
    x = 20,846.34/142.73
  6. Step 6: Final answer
    x = 146.06

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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.