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Finding the Fourth Proportional to 198,550.81, 297,863.12 and 65,440.42

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Solution

The fourth proportional to 198,550.81, 297,863.12 and 65,440.42 is: 98,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,550.81 : 297,863.12 = 65,440.42 : x
  2. Step 2: Convert to fraction form
    198,550.81/297,863.12 = 65,440.42/x
  3. Step 3: Cross multiply
    198,550.81x = 297,863.12 × 65,440.42
  4. Step 4: Simplify right side
    198,550.81x = 19,492,288,419.97
  5. Step 5: Solve for x
    x = 19,492,288,419.97/198,550.81
  6. Step 6: Final answer
    x = 98,172.80

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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.