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Finding the Fourth Proportional to 120,450, 166,221 and 73,346

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Solution

The fourth proportional to 120,450, 166,221 and 73,346 is: 101,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,450 : 166,221 = 73,346 : x
  2. Step 2: Convert to fraction form
    120,450/166,221 = 73,346/x
  3. Step 3: Cross multiply
    120,450x = 166,221 × 73,346
  4. Step 4: Simplify right side
    120,450x = 12,191,645,466
  5. Step 5: Solve for x
    x = 12,191,645,466/120,450
  6. Step 6: Final answer
    x = 101,217.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.