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Finding the Fourth Proportional to 199,361.61, 298,703.89 and 120,309.73

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Solution

The fourth proportional to 199,361.61, 298,703.89 and 120,309.73 is: 180,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,361.61 : 298,703.89 = 120,309.73 : x
  2. Step 2: Convert to fraction form
    199,361.61/298,703.89 = 120,309.73/x
  3. Step 3: Cross multiply
    199,361.61x = 298,703.89 × 120,309.73
  4. Step 4: Simplify right side
    199,361.61x = 35,936,984,355.85
  5. Step 5: Solve for x
    x = 35,936,984,355.85/199,361.61
  6. Step 6: Final answer
    x = 180,260.30

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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.