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Finding the Fourth Proportional to 203,435.90, 305,119.01 and 53,677.73

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Solution

The fourth proportional to 203,435.90, 305,119.01 and 53,677.73 is: 80,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,435.90 : 305,119.01 = 53,677.73 : x
  2. Step 2: Convert to fraction form
    203,435.90/305,119.01 = 53,677.73/x
  3. Step 3: Cross multiply
    203,435.90x = 305,119.01 × 53,677.73
  4. Step 4: Simplify right side
    203,435.90x = 16,378,096,733.64
  5. Step 5: Solve for x
    x = 16,378,096,733.64/203,435.90
  6. Step 6: Final answer
    x = 80,507.41

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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.