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Finding the Fourth Proportional to 199,112.88, 298,697.40 and 74,442

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Solution

The fourth proportional to 199,112.88, 298,697.40 and 74,442 is: 111,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,112.88 : 298,697.40 = 74,442 : x
  2. Step 2: Convert to fraction form
    199,112.88/298,697.40 = 74,442/x
  3. Step 3: Cross multiply
    199,112.88x = 298,697.40 × 74,442
  4. Step 4: Simplify right side
    199,112.88x = 22,235,631,850.80
  5. Step 5: Solve for x
    x = 22,235,631,850.80/199,112.88
  6. Step 6: Final answer
    x = 111,673.50

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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.