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Finding the Fourth Proportional to 206,052.80, 308,733.60 and 100,644.80

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Solution

The fourth proportional to 206,052.80, 308,733.60 and 100,644.80 is: 150,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,052.80 : 308,733.60 = 100,644.80 : x
  2. Step 2: Convert to fraction form
    206,052.80/308,733.60 = 100,644.80/x
  3. Step 3: Cross multiply
    206,052.80x = 308,733.60 × 100,644.80
  4. Step 4: Simplify right side
    206,052.80x = 31,072,431,425.28
  5. Step 5: Solve for x
    x = 31,072,431,425.28/206,052.80
  6. Step 6: Final answer
    x = 150,798.39

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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.