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Finding the Fourth Proportional to 207,906, 311,878.44 and 67,626.96

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Solution

The fourth proportional to 207,906, 311,878.44 and 67,626.96 is: 101,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 311,878.44 = 67,626.96 : x
  2. Step 2: Convert to fraction form
    207,906/311,878.44 = 67,626.96/x
  3. Step 3: Cross multiply
    207,906x = 311,878.44 × 67,626.96
  4. Step 4: Simplify right side
    207,906x = 21,091,390,786.74
  5. Step 5: Solve for x
    x = 21,091,390,786.74/207,906
  6. Step 6: Final answer
    x = 101,446.76

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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.