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Finding the Fourth Proportional to 198,424.63, 297,550.82 and 72,022.87

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Solution

The fourth proportional to 198,424.63, 297,550.82 and 72,022.87 is: 108,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,424.63 : 297,550.82 = 72,022.87 : x
  2. Step 2: Convert to fraction form
    198,424.63/297,550.82 = 72,022.87/x
  3. Step 3: Cross multiply
    198,424.63x = 297,550.82 × 72,022.87
  4. Step 4: Simplify right side
    198,424.63x = 21,430,463,463.43
  5. Step 5: Solve for x
    x = 21,430,463,463.43/198,424.63
  6. Step 6: Final answer
    x = 108,003.04

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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.