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Finding the Fourth Proportional to 203,503.17, 305,255.45 and 85,091.49

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Solution

The fourth proportional to 203,503.17, 305,255.45 and 85,091.49 is: 127,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,503.17 : 305,255.45 = 85,091.49 : x
  2. Step 2: Convert to fraction form
    203,503.17/305,255.45 = 85,091.49/x
  3. Step 3: Cross multiply
    203,503.17x = 305,255.45 × 85,091.49
  4. Step 4: Simplify right side
    203,503.17x = 25,974,640,645.66
  5. Step 5: Solve for x
    x = 25,974,640,645.66/203,503.17
  6. Step 6: Final answer
    x = 127,637.52

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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.