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Finding the Fourth Proportional to 198,116.84, 297,249.24 and 79,821.74

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Solution

The fourth proportional to 198,116.84, 297,249.24 and 79,821.74 is: 119,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,116.84 : 297,249.24 = 79,821.74 : x
  2. Step 2: Convert to fraction form
    198,116.84/297,249.24 = 79,821.74/x
  3. Step 3: Cross multiply
    198,116.84x = 297,249.24 × 79,821.74
  4. Step 4: Simplify right side
    198,116.84x = 23,726,951,550.48
  5. Step 5: Solve for x
    x = 23,726,951,550.48/198,116.84
  6. Step 6: Final answer
    x = 119,762.42

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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.