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Finding the Fourth Proportional to 142,949, 197,270.54 and 79,286.96

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Solution

The fourth proportional to 142,949, 197,270.54 and 79,286.96 is: 109,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,949 : 197,270.54 = 79,286.96 : x
  2. Step 2: Convert to fraction form
    142,949/197,270.54 = 79,286.96/x
  3. Step 3: Cross multiply
    142,949x = 197,270.54 × 79,286.96
  4. Step 4: Simplify right side
    142,949x = 15,640,981,414.16
  5. Step 5: Solve for x
    x = 15,640,981,414.16/142,949
  6. Step 6: Final answer
    x = 109,416.52

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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.