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Finding the Fourth Proportional to 198,321.23, 297,450.90 and 65,200.56

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Solution

The fourth proportional to 198,321.23, 297,450.90 and 65,200.56 is: 97,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,321.23 : 297,450.90 = 65,200.56 : x
  2. Step 2: Convert to fraction form
    198,321.23/297,450.90 = 65,200.56/x
  3. Step 3: Cross multiply
    198,321.23x = 297,450.90 × 65,200.56
  4. Step 4: Simplify right side
    198,321.23x = 19,393,965,252.50
  5. Step 5: Solve for x
    x = 19,393,965,252.50/198,321.23
  6. Step 6: Final answer
    x = 97,790.67

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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.