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Finding the Fourth Proportional to 203,540.44, 305,193.84 and 77,100.04

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Solution

The fourth proportional to 203,540.44, 305,193.84 and 77,100.04 is: 115,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,540.44 : 305,193.84 = 77,100.04 : x
  2. Step 2: Convert to fraction form
    203,540.44/305,193.84 = 77,100.04/x
  3. Step 3: Cross multiply
    203,540.44x = 305,193.84 × 77,100.04
  4. Step 4: Simplify right side
    203,540.44x = 23,530,457,271.75
  5. Step 5: Solve for x
    x = 23,530,457,271.75/203,540.44
  6. Step 6: Final answer
    x = 115,605.81

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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.