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Finding the Fourth Proportional to 220,157.70, 329,799.15 and 120,138.90

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Solution

The fourth proportional to 220,157.70, 329,799.15 and 120,138.90 is: 179,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,157.70 : 329,799.15 = 120,138.90 : x
  2. Step 2: Convert to fraction form
    220,157.70/329,799.15 = 120,138.90/x
  3. Step 3: Cross multiply
    220,157.70x = 329,799.15 × 120,138.90
  4. Step 4: Simplify right side
    220,157.70x = 39,621,707,101.94
  5. Step 5: Solve for x
    x = 39,621,707,101.94/220,157.70
  6. Step 6: Final answer
    x = 179,969.66

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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.