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Finding the Fourth Proportional to 199,984.92, 299,865.06 and 66,795

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Solution

The fourth proportional to 199,984.92, 299,865.06 and 66,795 is: 100,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,984.92 : 299,865.06 = 66,795 : x
  2. Step 2: Convert to fraction form
    199,984.92/299,865.06 = 66,795/x
  3. Step 3: Cross multiply
    199,984.92x = 299,865.06 × 66,795
  4. Step 4: Simplify right side
    199,984.92x = 20,029,486,682.70
  5. Step 5: Solve for x
    x = 20,029,486,682.70/199,984.92
  6. Step 6: Final answer
    x = 100,154.99

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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.