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Finding the Fourth Proportional to 180,672.66, 270,713.34 and 109,379.21

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Solution

The fourth proportional to 180,672.66, 270,713.34 and 109,379.21 is: 163,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,672.66 : 270,713.34 = 109,379.21 : x
  2. Step 2: Convert to fraction form
    180,672.66/270,713.34 = 109,379.21/x
  3. Step 3: Cross multiply
    180,672.66x = 270,713.34 × 109,379.21
  4. Step 4: Simplify right side
    180,672.66x = 29,610,409,912.09
  5. Step 5: Solve for x
    x = 29,610,409,912.09/180,672.66
  6. Step 6: Final answer
    x = 163,889.82

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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.