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Finding the Fourth Proportional to 54,612, 81,931 and 17,676

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Solution

The fourth proportional to 54,612, 81,931 and 17,676 is: 26,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,612 : 81,931 = 17,676 : x
  2. Step 2: Convert to fraction form
    54,612/81,931 = 17,676/x
  3. Step 3: Cross multiply
    54,612x = 81,931 × 17,676
  4. Step 4: Simplify right side
    54,612x = 1,448,212,356
  5. Step 5: Solve for x
    x = 1,448,212,356/54,612
  6. Step 6: Final answer
    x = 26,518.21

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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.