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Finding the Fourth Proportional to 198,083.56, 297,212.82 and 79,985.56

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Solution

The fourth proportional to 198,083.56, 297,212.82 and 79,985.56 is: 120,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,083.56 : 297,212.82 = 79,985.56 : x
  2. Step 2: Convert to fraction form
    198,083.56/297,212.82 = 79,985.56/x
  3. Step 3: Cross multiply
    198,083.56x = 297,212.82 × 79,985.56
  4. Step 4: Simplify right side
    198,083.56x = 23,772,733,846.88
  5. Step 5: Solve for x
    x = 23,772,733,846.88/198,083.56
  6. Step 6: Final answer
    x = 120,013.66

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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.