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Finding the Fourth Proportional to 198,367.40, 297,570.72 and 65,193.68

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Solution

The fourth proportional to 198,367.40, 297,570.72 and 65,193.68 is: 97,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,367.40 : 297,570.72 = 65,193.68 : x
  2. Step 2: Convert to fraction form
    198,367.40/297,570.72 = 65,193.68/x
  3. Step 3: Cross multiply
    198,367.40x = 297,570.72 × 65,193.68
  4. Step 4: Simplify right side
    198,367.40x = 19,399,730,297.05
  5. Step 5: Solve for x
    x = 19,399,730,297.05/198,367.40
  6. Step 6: Final answer
    x = 97,796.97

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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.