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Finding the Fourth Proportional to 215,793.45, 323,416.80 and 82,495.80

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Solution

The fourth proportional to 215,793.45, 323,416.80 and 82,495.80 is: 123,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,793.45 : 323,416.80 = 82,495.80 : x
  2. Step 2: Convert to fraction form
    215,793.45/323,416.80 = 82,495.80/x
  3. Step 3: Cross multiply
    215,793.45x = 323,416.80 × 82,495.80
  4. Step 4: Simplify right side
    215,793.45x = 26,680,527,649.44
  5. Step 5: Solve for x
    x = 26,680,527,649.44/215,793.45
  6. Step 6: Final answer
    x = 123,639.19

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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.