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Finding the Fourth Proportional to 205,143.92, 307,642.92 and 78,793.64

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Solution

The fourth proportional to 205,143.92, 307,642.92 and 78,793.64 is: 118,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,143.92 : 307,642.92 = 78,793.64 : x
  2. Step 2: Convert to fraction form
    205,143.92/307,642.92 = 78,793.64/x
  3. Step 3: Cross multiply
    205,143.92x = 307,642.92 × 78,793.64
  4. Step 4: Simplify right side
    205,143.92x = 24,240,305,487.03
  5. Step 5: Solve for x
    x = 24,240,305,487.03/205,143.92
  6. Step 6: Final answer
    x = 118,162.44

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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.