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Finding the Fourth Proportional to 198,710.82, 298,092.96 and 72,334.62

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Solution

The fourth proportional to 198,710.82, 298,092.96 and 72,334.62 is: 108,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,710.82 : 298,092.96 = 72,334.62 : x
  2. Step 2: Convert to fraction form
    198,710.82/298,092.96 = 72,334.62/x
  3. Step 3: Cross multiply
    198,710.82x = 298,092.96 × 72,334.62
  4. Step 4: Simplify right side
    198,710.82x = 21,562,440,986.28
  5. Step 5: Solve for x
    x = 21,562,440,986.28/198,710.82
  6. Step 6: Final answer
    x = 108,511.66

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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.