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Finding the Fourth Proportional to 142.69, 196.80 and 101.18

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Solution

The fourth proportional to 142.69, 196.80 and 101.18 is: 139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.69 : 196.80 = 101.18 : x
  2. Step 2: Convert to fraction form
    142.69/196.80 = 101.18/x
  3. Step 3: Cross multiply
    142.69x = 196.80 × 101.18
  4. Step 4: Simplify right side
    142.69x = 19,912.22
  5. Step 5: Solve for x
    x = 19,912.22/142.69
  6. Step 6: Final answer
    x = 139.55

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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.