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Finding the Fourth Proportional to 120,322, 180,483 and 32,770

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Solution

The fourth proportional to 120,322, 180,483 and 32,770 is: 49,155

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,322 : 180,483 = 32,770 : x
  2. Step 2: Convert to fraction form
    120,322/180,483 = 32,770/x
  3. Step 3: Cross multiply
    120,322x = 180,483 × 32,770
  4. Step 4: Simplify right side
    120,322x = 5,914,427,910
  5. Step 5: Solve for x
    x = 5,914,427,910/120,322
  6. Step 6: Final answer
    x = 49,155

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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.