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Finding the Fourth Proportional to 198,699.96, 298,020.76 and 65,584.56

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Solution

The fourth proportional to 198,699.96, 298,020.76 and 65,584.56 is: 98,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,699.96 : 298,020.76 = 65,584.56 : x
  2. Step 2: Convert to fraction form
    198,699.96/298,020.76 = 65,584.56/x
  3. Step 3: Cross multiply
    198,699.96x = 298,020.76 × 65,584.56
  4. Step 4: Simplify right side
    198,699.96x = 19,545,560,415.47
  5. Step 5: Solve for x
    x = 19,545,560,415.47/198,699.96
  6. Step 6: Final answer
    x = 98,367.21

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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.