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Finding the Fourth Proportional to 199,314.66, 298,633.68 and 120,262.80

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Solution

The fourth proportional to 199,314.66, 298,633.68 and 120,262.80 is: 180,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,314.66 : 298,633.68 = 120,262.80 : x
  2. Step 2: Convert to fraction form
    199,314.66/298,633.68 = 120,262.80/x
  3. Step 3: Cross multiply
    199,314.66x = 298,633.68 × 120,262.80
  4. Step 4: Simplify right side
    199,314.66x = 35,914,522,531.10
  5. Step 5: Solve for x
    x = 35,914,522,531.10/199,314.66
  6. Step 6: Final answer
    x = 180,190.07

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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.