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Finding the Fourth Proportional to 198,503.28, 297,799.92 and 65,396.88

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Solution

The fourth proportional to 198,503.28, 297,799.92 and 65,396.88 is: 98,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,503.28 : 297,799.92 = 65,396.88 : x
  2. Step 2: Convert to fraction form
    198,503.28/297,799.92 = 65,396.88/x
  3. Step 3: Cross multiply
    198,503.28x = 297,799.92 × 65,396.88
  4. Step 4: Simplify right side
    198,503.28x = 19,475,185,632.25
  5. Step 5: Solve for x
    x = 19,475,185,632.25/198,503.28
  6. Step 6: Final answer
    x = 98,110.15

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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.