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Finding the Fourth Proportional to 107,892, 161,838 and 34,020

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Solution

The fourth proportional to 107,892, 161,838 and 34,020 is: 51,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,892 : 161,838 = 34,020 : x
  2. Step 2: Convert to fraction form
    107,892/161,838 = 34,020/x
  3. Step 3: Cross multiply
    107,892x = 161,838 × 34,020
  4. Step 4: Simplify right side
    107,892x = 5,505,728,760
  5. Step 5: Solve for x
    x = 5,505,728,760/107,892
  6. Step 6: Final answer
    x = 51,030

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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.