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Finding the Fourth Proportional to 256,208.50, 353,540.87 and 148,757.54

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Solution

The fourth proportional to 256,208.50, 353,540.87 and 148,757.54 is: 205,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,208.50 : 353,540.87 = 148,757.54 : x
  2. Step 2: Convert to fraction form
    256,208.50/353,540.87 = 148,757.54/x
  3. Step 3: Cross multiply
    256,208.50x = 353,540.87 × 148,757.54
  4. Step 4: Simplify right side
    256,208.50x = 52,591,870,110.66
  5. Step 5: Solve for x
    x = 52,591,870,110.66/256,208.50
  6. Step 6: Final answer
    x = 205,269.81

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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.