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Finding the Fourth Proportional to 54,084, 81,126 and 17,148

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Solution

The fourth proportional to 54,084, 81,126 and 17,148 is: 25,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,084 : 81,126 = 17,148 : x
  2. Step 2: Convert to fraction form
    54,084/81,126 = 17,148/x
  3. Step 3: Cross multiply
    54,084x = 81,126 × 17,148
  4. Step 4: Simplify right side
    54,084x = 1,391,148,648
  5. Step 5: Solve for x
    x = 1,391,148,648/54,084
  6. Step 6: Final answer
    x = 25,722

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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.