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Finding the Fourth Proportional to 203,067, 280,232.46 and 113,643

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Solution

The fourth proportional to 203,067, 280,232.46 and 113,643 is: 156,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,067 : 280,232.46 = 113,643 : x
  2. Step 2: Convert to fraction form
    203,067/280,232.46 = 113,643/x
  3. Step 3: Cross multiply
    203,067x = 280,232.46 × 113,643
  4. Step 4: Simplify right side
    203,067x = 31,846,457,451.78
  5. Step 5: Solve for x
    x = 31,846,457,451.78/203,067
  6. Step 6: Final answer
    x = 156,827.34

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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.