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Finding the Fourth Proportional to 208,345.92, 312,540.84 and 68,104.32

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Solution

The fourth proportional to 208,345.92, 312,540.84 and 68,104.32 is: 102,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,345.92 : 312,540.84 = 68,104.32 : x
  2. Step 2: Convert to fraction form
    208,345.92/312,540.84 = 68,104.32/x
  3. Step 3: Cross multiply
    208,345.92x = 312,540.84 × 68,104.32
  4. Step 4: Simplify right side
    208,345.92x = 21,285,381,380.43
  5. Step 5: Solve for x
    x = 21,285,381,380.43/208,345.92
  6. Step 6: Final answer
    x = 102,163.66

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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.