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Finding the Fourth Proportional to 199,121.72, 298,672.86 and 74,453

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Solution

The fourth proportional to 199,121.72, 298,672.86 and 74,453 is: 111,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,121.72 : 298,672.86 = 74,453 : x
  2. Step 2: Convert to fraction form
    199,121.72/298,672.86 = 74,453/x
  3. Step 3: Cross multiply
    199,121.72x = 298,672.86 × 74,453
  4. Step 4: Simplify right side
    199,121.72x = 22,237,090,445.58
  5. Step 5: Solve for x
    x = 22,237,090,445.58/199,121.72
  6. Step 6: Final answer
    x = 111,675.87

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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.