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Finding the Fourth Proportional to 120,321, 180,481.50 and 32,769

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Solution

The fourth proportional to 120,321, 180,481.50 and 32,769 is: 49,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,321 : 180,481.50 = 32,769 : x
  2. Step 2: Convert to fraction form
    120,321/180,481.50 = 32,769/x
  3. Step 3: Cross multiply
    120,321x = 180,481.50 × 32,769
  4. Step 4: Simplify right side
    120,321x = 5,914,198,273.50
  5. Step 5: Solve for x
    x = 5,914,198,273.50/120,321
  6. Step 6: Final answer
    x = 49,153.50

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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.