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Finding the Fourth Proportional to 198,995.94, 298,493.24 and 80,666.96

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Solution

The fourth proportional to 198,995.94, 298,493.24 and 80,666.96 is: 121,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,995.94 : 298,493.24 = 80,666.96 : x
  2. Step 2: Convert to fraction form
    198,995.94/298,493.24 = 80,666.96/x
  3. Step 3: Cross multiply
    198,995.94x = 298,493.24 × 80,666.96
  4. Step 4: Simplify right side
    198,995.94x = 24,078,540,355.55
  5. Step 5: Solve for x
    x = 24,078,540,355.55/198,995.94
  6. Step 6: Final answer
    x = 121,000.16

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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.