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Finding the Fourth Proportional to 217,156.92, 325,776.34 and 82,261.38

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Solution

The fourth proportional to 217,156.92, 325,776.34 and 82,261.38 is: 123,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,156.92 : 325,776.34 = 82,261.38 : x
  2. Step 2: Convert to fraction form
    217,156.92/325,776.34 = 82,261.38/x
  3. Step 3: Cross multiply
    217,156.92x = 325,776.34 × 82,261.38
  4. Step 4: Simplify right side
    217,156.92x = 26,798,811,299.75
  5. Step 5: Solve for x
    x = 26,798,811,299.75/217,156.92
  6. Step 6: Final answer
    x = 123,407.59

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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.