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Finding the Fourth Proportional to 142.83, 196.97 and 101.39

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Solution

The fourth proportional to 142.83, 196.97 and 101.39 is: 139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.83 : 196.97 = 101.39 : x
  2. Step 2: Convert to fraction form
    142.83/196.97 = 101.39/x
  3. Step 3: Cross multiply
    142.83x = 196.97 × 101.39
  4. Step 4: Simplify right side
    142.83x = 19,969.30
  5. Step 5: Solve for x
    x = 19,969.30/142.83
  6. Step 6: Final answer
    x = 139.81

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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.