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Finding the Fourth Proportional to 120,330, 180,495 and 32,778

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Solution

The fourth proportional to 120,330, 180,495 and 32,778 is: 49,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,330 : 180,495 = 32,778 : x
  2. Step 2: Convert to fraction form
    120,330/180,495 = 32,778/x
  3. Step 3: Cross multiply
    120,330x = 180,495 × 32,778
  4. Step 4: Simplify right side
    120,330x = 5,916,265,110
  5. Step 5: Solve for x
    x = 5,916,265,110/120,330
  6. Step 6: Final answer
    x = 49,167

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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.