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Finding the Fourth Proportional to 227,855.34, 341,791.20 and 85,687.58

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Solution

The fourth proportional to 227,855.34, 341,791.20 and 85,687.58 is: 128,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,855.34 : 341,791.20 = 85,687.58 : x
  2. Step 2: Convert to fraction form
    227,855.34/341,791.20 = 85,687.58/x
  3. Step 3: Cross multiply
    227,855.34x = 341,791.20 × 85,687.58
  4. Step 4: Simplify right side
    227,855.34x = 29,287,260,793.30
  5. Step 5: Solve for x
    x = 29,287,260,793.30/227,855.34
  6. Step 6: Final answer
    x = 128,534.45

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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.