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Finding the Fourth Proportional to 105,028, 157,542 and 27,204

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Solution

The fourth proportional to 105,028, 157,542 and 27,204 is: 40,806

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,028 : 157,542 = 27,204 : x
  2. Step 2: Convert to fraction form
    105,028/157,542 = 27,204/x
  3. Step 3: Cross multiply
    105,028x = 157,542 × 27,204
  4. Step 4: Simplify right side
    105,028x = 4,285,772,568
  5. Step 5: Solve for x
    x = 4,285,772,568/105,028
  6. Step 6: Final answer
    x = 40,806

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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.