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Finding the Fourth Proportional to 198,651.72, 297,982.98 and 58,414.80

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Solution

The fourth proportional to 198,651.72, 297,982.98 and 58,414.80 is: 87,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,651.72 : 297,982.98 = 58,414.80 : x
  2. Step 2: Convert to fraction form
    198,651.72/297,982.98 = 58,414.80/x
  3. Step 3: Cross multiply
    198,651.72x = 297,982.98 × 58,414.80
  4. Step 4: Simplify right side
    198,651.72x = 17,406,616,180.10
  5. Step 5: Solve for x
    x = 17,406,616,180.10/198,651.72
  6. Step 6: Final answer
    x = 87,623.79

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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.