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Finding the Fourth Proportional to 223,796.78, 308,843.49 and 121,825.16

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Solution

The fourth proportional to 223,796.78, 308,843.49 and 121,825.16 is: 168,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,796.78 : 308,843.49 = 121,825.16 : x
  2. Step 2: Convert to fraction form
    223,796.78/308,843.49 = 121,825.16/x
  3. Step 3: Cross multiply
    223,796.78x = 308,843.49 × 121,825.16
  4. Step 4: Simplify right side
    223,796.78x = 37,624,907,584.21
  5. Step 5: Solve for x
    x = 37,624,907,584.21/223,796.78
  6. Step 6: Final answer
    x = 168,120.86

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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.