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Finding the Fourth Proportional to 198,107.46, 297,157.94 and 79,775.82

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Solution

The fourth proportional to 198,107.46, 297,157.94 and 79,775.82 is: 119,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,107.46 : 297,157.94 = 79,775.82 : x
  2. Step 2: Convert to fraction form
    198,107.46/297,157.94 = 79,775.82/x
  3. Step 3: Cross multiply
    198,107.46x = 297,157.94 × 79,775.82
  4. Step 4: Simplify right side
    198,107.46x = 23,706,018,333.01
  5. Step 5: Solve for x
    x = 23,706,018,333.01/198,107.46
  6. Step 6: Final answer
    x = 119,662.42

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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.