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Finding the Fourth Proportional to 203,832.16, 305,436.52 and 85,438.96

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Solution

The fourth proportional to 203,832.16, 305,436.52 and 85,438.96 is: 128,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,832.16 : 305,436.52 = 85,438.96 : x
  2. Step 2: Convert to fraction form
    203,832.16/305,436.52 = 85,438.96/x
  3. Step 3: Cross multiply
    203,832.16x = 305,436.52 × 85,438.96
  4. Step 4: Simplify right side
    203,832.16x = 26,096,178,614.82
  5. Step 5: Solve for x
    x = 26,096,178,614.82/203,832.16
  6. Step 6: Final answer
    x = 128,027.78

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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.