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Finding the Fourth Proportional to 199,112.80, 298,824.72 and 74,489.44

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Solution

The fourth proportional to 199,112.80, 298,824.72 and 74,489.44 is: 111,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,112.80 : 298,824.72 = 74,489.44 : x
  2. Step 2: Convert to fraction form
    199,112.80/298,824.72 = 74,489.44/x
  3. Step 3: Cross multiply
    199,112.80x = 298,824.72 × 74,489.44
  4. Step 4: Simplify right side
    199,112.80x = 22,259,286,050.96
  5. Step 5: Solve for x
    x = 22,259,286,050.96/199,112.80
  6. Step 6: Final answer
    x = 111,792.34

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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.