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Finding the Fourth Proportional to 149,758, 206,497.56 and 122,448.88

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Solution

The fourth proportional to 149,758, 206,497.56 and 122,448.88 is: 168,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758 : 206,497.56 = 122,448.88 : x
  2. Step 2: Convert to fraction form
    149,758/206,497.56 = 122,448.88/x
  3. Step 3: Cross multiply
    149,758x = 206,497.56 × 122,448.88
  4. Step 4: Simplify right side
    149,758x = 25,285,394,944.73
  5. Step 5: Solve for x
    x = 25,285,394,944.73/149,758
  6. Step 6: Final answer
    x = 168,841.70

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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.