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Finding the Fourth Proportional to 142.36, 196.62 and 103.72

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Solution

The fourth proportional to 142.36, 196.62 and 103.72 is: 143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.36 : 196.62 = 103.72 : x
  2. Step 2: Convert to fraction form
    142.36/196.62 = 103.72/x
  3. Step 3: Cross multiply
    142.36x = 196.62 × 103.72
  4. Step 4: Simplify right side
    142.36x = 20,393.43
  5. Step 5: Solve for x
    x = 20,393.43/142.36
  6. Step 6: Final answer
    x = 143.25

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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.