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Finding the Fourth Proportional to 220,200.70, 329,863.65 and 120,181.90

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Solution

The fourth proportional to 220,200.70, 329,863.65 and 120,181.90 is: 180,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,200.70 : 329,863.65 = 120,181.90 : x
  2. Step 2: Convert to fraction form
    220,200.70/329,863.65 = 120,181.90/x
  3. Step 3: Cross multiply
    220,200.70x = 329,863.65 × 120,181.90
  4. Step 4: Simplify right side
    220,200.70x = 39,643,640,197.94
  5. Step 5: Solve for x
    x = 39,643,640,197.94/220,200.70
  6. Step 6: Final answer
    x = 180,034.12

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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.