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Finding the Fourth Proportional to 203,584.78, 305,327.96 and 85,344.63

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Solution

The fourth proportional to 203,584.78, 305,327.96 and 85,344.63 is: 127,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,584.78 : 305,327.96 = 85,344.63 : x
  2. Step 2: Convert to fraction form
    203,584.78/305,327.96 = 85,344.63/x
  3. Step 3: Cross multiply
    203,584.78x = 305,327.96 × 85,344.63
  4. Step 4: Simplify right side
    203,584.78x = 26,058,101,774.85
  5. Step 5: Solve for x
    x = 26,058,101,774.85/203,584.78
  6. Step 6: Final answer
    x = 127,996.32

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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.