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Finding the Fourth Proportional to 206,906.43, 310,353.48 and 57,155.70

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Solution

The fourth proportional to 206,906.43, 310,353.48 and 57,155.70 is: 85,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906.43 : 310,353.48 = 57,155.70 : x
  2. Step 2: Convert to fraction form
    206,906.43/310,353.48 = 57,155.70/x
  3. Step 3: Cross multiply
    206,906.43x = 310,353.48 × 57,155.70
  4. Step 4: Simplify right side
    206,906.43x = 17,738,470,396.84
  5. Step 5: Solve for x
    x = 17,738,470,396.84/206,906.43
  6. Step 6: Final answer
    x = 85,731.85

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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.