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Finding the Fourth Proportional to 100,769.09, 150,830.44 and 66,957.46

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Solution

The fourth proportional to 100,769.09, 150,830.44 and 66,957.46 is: 100,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,769.09 : 150,830.44 = 66,957.46 : x
  2. Step 2: Convert to fraction form
    100,769.09/150,830.44 = 66,957.46/x
  3. Step 3: Cross multiply
    100,769.09x = 150,830.44 × 66,957.46
  4. Step 4: Simplify right side
    100,769.09x = 10,099,222,608.61
  5. Step 5: Solve for x
    x = 10,099,222,608.61/100,769.09
  6. Step 6: Final answer
    x = 100,221.44

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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.