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Finding the Fourth Proportional to 203,467, 280,717.26 and 122,863.92

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Solution

The fourth proportional to 203,467, 280,717.26 and 122,863.92 is: 169,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,467 : 280,717.26 = 122,863.92 : x
  2. Step 2: Convert to fraction form
    203,467/280,717.26 = 122,863.92/x
  3. Step 3: Cross multiply
    203,467x = 280,717.26 × 122,863.92
  4. Step 4: Simplify right side
    203,467x = 34,490,022,975.26
  5. Step 5: Solve for x
    x = 34,490,022,975.26/203,467
  6. Step 6: Final answer
    x = 169,511.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.