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Finding the Fourth Proportional to 199,375.80, 298,977.30 and 81,007.80

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Solution

The fourth proportional to 199,375.80, 298,977.30 and 81,007.80 is: 121,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,375.80 : 298,977.30 = 81,007.80 : x
  2. Step 2: Convert to fraction form
    199,375.80/298,977.30 = 81,007.80/x
  3. Step 3: Cross multiply
    199,375.80x = 298,977.30 × 81,007.80
  4. Step 4: Simplify right side
    199,375.80x = 24,219,493,322.94
  5. Step 5: Solve for x
    x = 24,219,493,322.94/199,375.80
  6. Step 6: Final answer
    x = 121,476.60

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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.