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Finding the Fourth Proportional to 281,707.37, 422,561.81 and 82,032.65

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Solution

The fourth proportional to 281,707.37, 422,561.81 and 82,032.65 is: 123,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,707.37 : 422,561.81 = 82,032.65 : x
  2. Step 2: Convert to fraction form
    281,707.37/422,561.81 = 82,032.65/x
  3. Step 3: Cross multiply
    281,707.37x = 422,561.81 × 82,032.65
  4. Step 4: Simplify right side
    281,707.37x = 34,663,864,739.98
  5. Step 5: Solve for x
    x = 34,663,864,739.98/281,707.37
  6. Step 6: Final answer
    x = 123,049.19

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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.