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Finding the Fourth Proportional to 198,476.20, 297,714.30 and 73,791.40

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Solution

The fourth proportional to 198,476.20, 297,714.30 and 73,791.40 is: 110,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,476.20 : 297,714.30 = 73,791.40 : x
  2. Step 2: Convert to fraction form
    198,476.20/297,714.30 = 73,791.40/x
  3. Step 3: Cross multiply
    198,476.20x = 297,714.30 × 73,791.40
  4. Step 4: Simplify right side
    198,476.20x = 21,968,754,997.02
  5. Step 5: Solve for x
    x = 21,968,754,997.02/198,476.20
  6. Step 6: Final answer
    x = 110,687.10

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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.