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Finding the Fourth Proportional to 198,493.48, 297,781.26 and 65,381.86

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Solution

The fourth proportional to 198,493.48, 297,781.26 and 65,381.86 is: 98,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,493.48 : 297,781.26 = 65,381.86 : x
  2. Step 2: Convert to fraction form
    198,493.48/297,781.26 = 65,381.86/x
  3. Step 3: Cross multiply
    198,493.48x = 297,781.26 × 65,381.86
  4. Step 4: Simplify right side
    198,493.48x = 19,469,492,651.94
  5. Step 5: Solve for x
    x = 19,469,492,651.94/198,493.48
  6. Step 6: Final answer
    x = 98,086.31

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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.