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Finding the Fourth Proportional to 123,204, 170,011.74 and 69,471.84

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Solution

The fourth proportional to 123,204, 170,011.74 and 69,471.84 is: 95,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,204 : 170,011.74 = 69,471.84 : x
  2. Step 2: Convert to fraction form
    123,204/170,011.74 = 69,471.84/x
  3. Step 3: Cross multiply
    123,204x = 170,011.74 × 69,471.84
  4. Step 4: Simplify right side
    123,204x = 11,811,028,399.40
  5. Step 5: Solve for x
    x = 11,811,028,399.40/123,204
  6. Step 6: Final answer
    x = 95,865.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.