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Finding the Fourth Proportional to 198,592.21, 297,794.72 and 72,143.29

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Solution

The fourth proportional to 198,592.21, 297,794.72 and 72,143.29 is: 108,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,592.21 : 297,794.72 = 72,143.29 : x
  2. Step 2: Convert to fraction form
    198,592.21/297,794.72 = 72,143.29/x
  3. Step 3: Cross multiply
    198,592.21x = 297,794.72 × 72,143.29
  4. Step 4: Simplify right side
    198,592.21x = 21,483,891,398.03
  5. Step 5: Solve for x
    x = 21,483,891,398.03/198,592.21
  6. Step 6: Final answer
    x = 108,180.94

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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.