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Finding the Fourth Proportional to 205,425.60, 308,138.40 and 122,481.60

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Solution

The fourth proportional to 205,425.60, 308,138.40 and 122,481.60 is: 183,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,425.60 : 308,138.40 = 122,481.60 : x
  2. Step 2: Convert to fraction form
    205,425.60/308,138.40 = 122,481.60/x
  3. Step 3: Cross multiply
    205,425.60x = 308,138.40 × 122,481.60
  4. Step 4: Simplify right side
    205,425.60x = 37,741,284,253.44
  5. Step 5: Solve for x
    x = 37,741,284,253.44/205,425.60
  6. Step 6: Final answer
    x = 183,722.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.