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Finding the Fourth Proportional to 198,530.57, 297,795.10 and 56,375.85

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Solution

The fourth proportional to 198,530.57, 297,795.10 and 56,375.85 is: 84,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,530.57 : 297,795.10 = 56,375.85 : x
  2. Step 2: Convert to fraction form
    198,530.57/297,795.10 = 56,375.85/x
  3. Step 3: Cross multiply
    198,530.57x = 297,795.10 × 56,375.85
  4. Step 4: Simplify right side
    198,530.57x = 16,788,451,888.34
  5. Step 5: Solve for x
    x = 16,788,451,888.34/198,530.57
  6. Step 6: Final answer
    x = 84,563.56

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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.