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Finding the Fourth Proportional to 198,577.98, 297,850.77 and 65,456.10

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Solution

The fourth proportional to 198,577.98, 297,850.77 and 65,456.10 is: 98,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,577.98 : 297,850.77 = 65,456.10 : x
  2. Step 2: Convert to fraction form
    198,577.98/297,850.77 = 65,456.10/x
  3. Step 3: Cross multiply
    198,577.98x = 297,850.77 × 65,456.10
  4. Step 4: Simplify right side
    198,577.98x = 19,496,149,786.20
  5. Step 5: Solve for x
    x = 19,496,149,786.20/198,577.98
  6. Step 6: Final answer
    x = 98,178.81

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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.