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Finding the Fourth Proportional to 207,909.96, 311,898.60 and 81,481.67

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Solution

The fourth proportional to 207,909.96, 311,898.60 and 81,481.67 is: 122,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909.96 : 311,898.60 = 81,481.67 : x
  2. Step 2: Convert to fraction form
    207,909.96/311,898.60 = 81,481.67/x
  3. Step 3: Cross multiply
    207,909.96x = 311,898.60 × 81,481.67
  4. Step 4: Simplify right side
    207,909.96x = 25,414,017,239.17
  5. Step 5: Solve for x
    x = 25,414,017,239.17/207,909.96
  6. Step 6: Final answer
    x = 122,235.69

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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.