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Finding the Fourth Proportional to 142.86, 196.89 and 101.16

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Solution

The fourth proportional to 142.86, 196.89 and 101.16 is: 139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.86 : 196.89 = 101.16 : x
  2. Step 2: Convert to fraction form
    142.86/196.89 = 101.16/x
  3. Step 3: Cross multiply
    142.86x = 196.89 × 101.16
  4. Step 4: Simplify right side
    142.86x = 19,917.39
  5. Step 5: Solve for x
    x = 19,917.39/142.86
  6. Step 6: Final answer
    x = 139.42

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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.