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Finding the Fourth Proportional to 269,892, 404,838 and 82,903.50

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Solution

The fourth proportional to 269,892, 404,838 and 82,903.50 is: 124,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,892 : 404,838 = 82,903.50 : x
  2. Step 2: Convert to fraction form
    269,892/404,838 = 82,903.50/x
  3. Step 3: Cross multiply
    269,892x = 404,838 × 82,903.50
  4. Step 4: Simplify right side
    269,892x = 33,562,487,133
  5. Step 5: Solve for x
    x = 33,562,487,133/269,892
  6. Step 6: Final answer
    x = 124,355.25

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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.