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Finding the Fourth Proportional to 327,756, 491,712 and 106,140

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Solution

The fourth proportional to 327,756, 491,712 and 106,140 is: 159,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,756 : 491,712 = 106,140 : x
  2. Step 2: Convert to fraction form
    327,756/491,712 = 106,140/x
  3. Step 3: Cross multiply
    327,756x = 491,712 × 106,140
  4. Step 4: Simplify right side
    327,756x = 52,190,311,680
  5. Step 5: Solve for x
    x = 52,190,311,680/327,756
  6. Step 6: Final answer
    x = 159,235.26

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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.