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Finding the Fourth Proportional to 198,553.95, 297,766.89 and 65,402.55

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Solution

The fourth proportional to 198,553.95, 297,766.89 and 65,402.55 is: 98,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,553.95 : 297,766.89 = 65,402.55 : x
  2. Step 2: Convert to fraction form
    198,553.95/297,766.89 = 65,402.55/x
  3. Step 3: Cross multiply
    198,553.95x = 297,766.89 × 65,402.55
  4. Step 4: Simplify right side
    198,553.95x = 19,474,713,911.57
  5. Step 5: Solve for x
    x = 19,474,713,911.57/198,553.95
  6. Step 6: Final answer
    x = 98,082.73

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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.