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Finding the Fourth Proportional to 203,840.67, 305,797.74 and 83,876.43

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Solution

The fourth proportional to 203,840.67, 305,797.74 and 83,876.43 is: 125,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,840.67 : 305,797.74 = 83,876.43 : x
  2. Step 2: Convert to fraction form
    203,840.67/305,797.74 = 83,876.43/x
  3. Step 3: Cross multiply
    203,840.67x = 305,797.74 × 83,876.43
  4. Step 4: Simplify right side
    203,840.67x = 25,649,222,733.27
  5. Step 5: Solve for x
    x = 25,649,222,733.27/203,840.67
  6. Step 6: Final answer
    x = 125,829.76

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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.