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Finding the Fourth Proportional to 198,505.62, 297,802.17 and 109,888.38

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Solution

The fourth proportional to 198,505.62, 297,802.17 and 109,888.38 is: 164,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,505.62 : 297,802.17 = 109,888.38 : x
  2. Step 2: Convert to fraction form
    198,505.62/297,802.17 = 109,888.38/x
  3. Step 3: Cross multiply
    198,505.62x = 297,802.17 × 109,888.38
  4. Step 4: Simplify right side
    198,505.62x = 32,724,998,021.78
  5. Step 5: Solve for x
    x = 32,724,998,021.78/198,505.62
  6. Step 6: Final answer
    x = 164,856.78

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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.