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Finding the Fourth Proportional to 203,438.60, 305,153.10 and 55,694.60

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Solution

The fourth proportional to 203,438.60, 305,153.10 and 55,694.60 is: 83,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,438.60 : 305,153.10 = 55,694.60 : x
  2. Step 2: Convert to fraction form
    203,438.60/305,153.10 = 55,694.60/x
  3. Step 3: Cross multiply
    203,438.60x = 305,153.10 × 55,694.60
  4. Step 4: Simplify right side
    203,438.60x = 16,995,379,843.26
  5. Step 5: Solve for x
    x = 16,995,379,843.26/203,438.60
  6. Step 6: Final answer
    x = 83,540.59

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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.