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Finding the Fourth Proportional to 198,520.20, 297,716.28 and 65,368.80

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Solution

The fourth proportional to 198,520.20, 297,716.28 and 65,368.80 is: 98,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,520.20 : 297,716.28 = 65,368.80 : x
  2. Step 2: Convert to fraction form
    198,520.20/297,716.28 = 65,368.80/x
  3. Step 3: Cross multiply
    198,520.20x = 297,716.28 × 65,368.80
  4. Step 4: Simplify right side
    198,520.20x = 19,461,355,964.06
  5. Step 5: Solve for x
    x = 19,461,355,964.06/198,520.20
  6. Step 6: Final answer
    x = 98,032.12

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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.