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Finding the Fourth Proportional to 53,658, 80,491.44 and 16,722

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Solution

The fourth proportional to 53,658, 80,491.44 and 16,722 is: 25,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658 : 80,491.44 = 16,722 : x
  2. Step 2: Convert to fraction form
    53,658/80,491.44 = 16,722/x
  3. Step 3: Cross multiply
    53,658x = 80,491.44 × 16,722
  4. Step 4: Simplify right side
    53,658x = 1,345,977,859.68
  5. Step 5: Solve for x
    x = 1,345,977,859.68/53,658
  6. Step 6: Final answer
    x = 25,084.38

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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.