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Finding the Fourth Proportional to 198,558.62, 297,985.60 and 80,230.98

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Solution

The fourth proportional to 198,558.62, 297,985.60 and 80,230.98 is: 120,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,558.62 : 297,985.60 = 80,230.98 : x
  2. Step 2: Convert to fraction form
    198,558.62/297,985.60 = 80,230.98/x
  3. Step 3: Cross multiply
    198,558.62x = 297,985.60 × 80,230.98
  4. Step 4: Simplify right side
    198,558.62x = 23,907,676,713.89
  5. Step 5: Solve for x
    x = 23,907,676,713.89/198,558.62
  6. Step 6: Final answer
    x = 120,406.14

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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.