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Finding the Fourth Proportional to 178,530, 267,795.12 and 67,722

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Solution

The fourth proportional to 178,530, 267,795.12 and 67,722 is: 101,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,530 : 267,795.12 = 67,722 : x
  2. Step 2: Convert to fraction form
    178,530/267,795.12 = 67,722/x
  3. Step 3: Cross multiply
    178,530x = 267,795.12 × 67,722
  4. Step 4: Simplify right side
    178,530x = 18,135,621,116.64
  5. Step 5: Solve for x
    x = 18,135,621,116.64/178,530
  6. Step 6: Final answer
    x = 101,583.05

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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.