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Finding the Fourth Proportional to 198,647.01, 297,979.69 and 65,538.90

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Solution

The fourth proportional to 198,647.01, 297,979.69 and 65,538.90 is: 98,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,647.01 : 297,979.69 = 65,538.90 : x
  2. Step 2: Convert to fraction form
    198,647.01/297,979.69 = 65,538.90/x
  3. Step 3: Cross multiply
    198,647.01x = 297,979.69 × 65,538.90
  4. Step 4: Simplify right side
    198,647.01x = 19,529,261,104.94
  5. Step 5: Solve for x
    x = 19,529,261,104.94/198,647.01
  6. Step 6: Final answer
    x = 98,311.38

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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.