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Finding the Fourth Proportional to 198,666, 274,159.08 and 109,242

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Solution

The fourth proportional to 198,666, 274,159.08 and 109,242 is: 150,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,666 : 274,159.08 = 109,242 : x
  2. Step 2: Convert to fraction form
    198,666/274,159.08 = 109,242/x
  3. Step 3: Cross multiply
    198,666x = 274,159.08 × 109,242
  4. Step 4: Simplify right side
    198,666x = 29,949,686,217.36
  5. Step 5: Solve for x
    x = 29,949,686,217.36/198,666
  6. Step 6: Final answer
    x = 150,753.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.