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Finding the Fourth Proportional to 198,556.50, 297,871.65 and 65,446.11

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Solution

The fourth proportional to 198,556.50, 297,871.65 and 65,446.11 is: 98,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,556.50 : 297,871.65 = 65,446.11 : x
  2. Step 2: Convert to fraction form
    198,556.50/297,871.65 = 65,446.11/x
  3. Step 3: Cross multiply
    198,556.50x = 297,871.65 × 65,446.11
  4. Step 4: Simplify right side
    198,556.50x = 19,494,540,771.78
  5. Step 5: Solve for x
    x = 19,494,540,771.78/198,556.50
  6. Step 6: Final answer
    x = 98,181.33

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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.