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Finding the Fourth Proportional to 70,105, 105,158.22 and 20,857

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Solution

The fourth proportional to 70,105, 105,158.22 and 20,857 is: 31,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105 : 105,158.22 = 20,857 : x
  2. Step 2: Convert to fraction form
    70,105/105,158.22 = 20,857/x
  3. Step 3: Cross multiply
    70,105x = 105,158.22 × 20,857
  4. Step 4: Simplify right side
    70,105x = 2,193,284,994.54
  5. Step 5: Solve for x
    x = 2,193,284,994.54/70,105
  6. Step 6: Final answer
    x = 31,285.71

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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.