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Finding the Fourth Proportional to 203,481.75, 305,222.63 and 78,822.75

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Solution

The fourth proportional to 203,481.75, 305,222.63 and 78,822.75 is: 118,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,481.75 : 305,222.63 = 78,822.75 : x
  2. Step 2: Convert to fraction form
    203,481.75/305,222.63 = 78,822.75/x
  3. Step 3: Cross multiply
    203,481.75x = 305,222.63 × 78,822.75
  4. Step 4: Simplify right side
    203,481.75x = 24,058,487,058.83
  5. Step 5: Solve for x
    x = 24,058,487,058.83/203,481.75
  6. Step 6: Final answer
    x = 118,234.13

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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.