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Finding the Fourth Proportional to 198,998.76, 274,623.21 and 108,359.70

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Solution

The fourth proportional to 198,998.76, 274,623.21 and 108,359.70 is: 149,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,998.76 : 274,623.21 = 108,359.70 : x
  2. Step 2: Convert to fraction form
    198,998.76/274,623.21 = 108,359.70/x
  3. Step 3: Cross multiply
    198,998.76x = 274,623.21 × 108,359.70
  4. Step 4: Simplify right side
    198,998.76x = 29,758,088,648.64
  5. Step 5: Solve for x
    x = 29,758,088,648.64/198,998.76
  6. Step 6: Final answer
    x = 149,539.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.