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Finding the Fourth Proportional to 203,914.31, 305,936.48 and 85,553.87

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Solution

The fourth proportional to 203,914.31, 305,936.48 and 85,553.87 is: 128,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,914.31 : 305,936.48 = 85,553.87 : x
  2. Step 2: Convert to fraction form
    203,914.31/305,936.48 = 85,553.87/x
  3. Step 3: Cross multiply
    203,914.31x = 305,936.48 × 85,553.87
  4. Step 4: Simplify right side
    203,914.31x = 26,174,050,175.25
  5. Step 5: Solve for x
    x = 26,174,050,175.25/203,914.31
  6. Step 6: Final answer
    x = 128,358.08

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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.