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Finding the Fourth Proportional to 142.49, 196.49 and 109.69

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Solution

The fourth proportional to 142.49, 196.49 and 109.69 is: 151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.49 : 196.49 = 109.69 : x
  2. Step 2: Convert to fraction form
    142.49/196.49 = 109.69/x
  3. Step 3: Cross multiply
    142.49x = 196.49 × 109.69
  4. Step 4: Simplify right side
    142.49x = 21,552.77
  5. Step 5: Solve for x
    x = 21,552.77/142.49
  6. Step 6: Final answer
    x = 151.26

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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.