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Finding the Fourth Proportional to 203,521.92, 280,826.61 and 112,863.48

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Solution

The fourth proportional to 203,521.92, 280,826.61 and 112,863.48 is: 155,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,521.92 : 280,826.61 = 112,863.48 : x
  2. Step 2: Convert to fraction form
    203,521.92/280,826.61 = 112,863.48/x
  3. Step 3: Cross multiply
    203,521.92x = 280,826.61 × 112,863.48
  4. Step 4: Simplify right side
    203,521.92x = 31,695,068,481.20
  5. Step 5: Solve for x
    x = 31,695,068,481.20/203,521.92
  6. Step 6: Final answer
    x = 155,732.95

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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.