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Finding the Fourth Proportional to 198,381.78, 297,593.18 and 65,261.85

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Solution

The fourth proportional to 198,381.78, 297,593.18 and 65,261.85 is: 97,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,381.78 : 297,593.18 = 65,261.85 : x
  2. Step 2: Convert to fraction form
    198,381.78/297,593.18 = 65,261.85/x
  3. Step 3: Cross multiply
    198,381.78x = 297,593.18 × 65,261.85
  4. Step 4: Simplify right side
    198,381.78x = 19,421,481,147.87
  5. Step 5: Solve for x
    x = 19,421,481,147.87/198,381.78
  6. Step 6: Final answer
    x = 97,899.52

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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.