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Finding the Fourth Proportional to 253,698.33, 380,517.26 and 66,724.41

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Solution

The fourth proportional to 253,698.33, 380,517.26 and 66,724.41 is: 100,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,698.33 : 380,517.26 = 66,724.41 : x
  2. Step 2: Convert to fraction form
    253,698.33/380,517.26 = 66,724.41/x
  3. Step 3: Cross multiply
    253,698.33x = 380,517.26 × 66,724.41
  4. Step 4: Simplify right side
    253,698.33x = 25,389,789,334.69
  5. Step 5: Solve for x
    x = 25,389,789,334.69/253,698.33
  6. Step 6: Final answer
    x = 100,078.66

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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.