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Finding the Fourth Proportional to 142.23, 196.39 and 105.78

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Solution

The fourth proportional to 142.23, 196.39 and 105.78 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.23 : 196.39 = 105.78 : x
  2. Step 2: Convert to fraction form
    142.23/196.39 = 105.78/x
  3. Step 3: Cross multiply
    142.23x = 196.39 × 105.78
  4. Step 4: Simplify right side
    142.23x = 20,774.13
  5. Step 5: Solve for x
    x = 20,774.13/142.23
  6. Step 6: Final answer
    x = 146.06

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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.