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Finding the Fourth Proportional to 199,906, 299,859.05 and 52,162

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Solution

The fourth proportional to 199,906, 299,859.05 and 52,162 is: 78,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,906 : 299,859.05 = 52,162 : x
  2. Step 2: Convert to fraction form
    199,906/299,859.05 = 52,162/x
  3. Step 3: Cross multiply
    199,906x = 299,859.05 × 52,162
  4. Step 4: Simplify right side
    199,906x = 15,641,247,766.10
  5. Step 5: Solve for x
    x = 15,641,247,766.10/199,906
  6. Step 6: Final answer
    x = 78,243.01

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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.