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Finding the Fourth Proportional to 199,635.20, 299,452.80 and 81,391.40

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Solution

The fourth proportional to 199,635.20, 299,452.80 and 81,391.40 is: 122,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,635.20 : 299,452.80 = 81,391.40 : x
  2. Step 2: Convert to fraction form
    199,635.20/299,452.80 = 81,391.40/x
  3. Step 3: Cross multiply
    199,635.20x = 299,452.80 × 81,391.40
  4. Step 4: Simplify right side
    199,635.20x = 24,372,882,625.92
  5. Step 5: Solve for x
    x = 24,372,882,625.92/199,635.20
  6. Step 6: Final answer
    x = 122,087.10

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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.