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Finding the Fourth Proportional to 199,906.80, 299,750.85 and 81,444.30

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Solution

The fourth proportional to 199,906.80, 299,750.85 and 81,444.30 is: 122,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,906.80 : 299,750.85 = 81,444.30 : x
  2. Step 2: Convert to fraction form
    199,906.80/299,750.85 = 81,444.30/x
  3. Step 3: Cross multiply
    199,906.80x = 299,750.85 × 81,444.30
  4. Step 4: Simplify right side
    199,906.80x = 24,412,998,152.66
  5. Step 5: Solve for x
    x = 24,412,998,152.66/199,906.80
  6. Step 6: Final answer
    x = 122,121.90

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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.