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Finding the Fourth Proportional to 142.94, 197.12 and 101.42

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Solution

The fourth proportional to 142.94, 197.12 and 101.42 is: 139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 197.12 = 101.42 : x
  2. Step 2: Convert to fraction form
    142.94/197.12 = 101.42/x
  3. Step 3: Cross multiply
    142.94x = 197.12 × 101.42
  4. Step 4: Simplify right side
    142.94x = 19,991.91
  5. Step 5: Solve for x
    x = 19,991.91/142.94
  6. Step 6: Final answer
    x = 139.86

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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.