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Finding the Fourth Proportional to 54,323.81, 81,491 and 16,873.81

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Solution

The fourth proportional to 54,323.81, 81,491 and 16,873.81 is: 25,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,323.81 : 81,491 = 16,873.81 : x
  2. Step 2: Convert to fraction form
    54,323.81/81,491 = 16,873.81/x
  3. Step 3: Cross multiply
    54,323.81x = 81,491 × 16,873.81
  4. Step 4: Simplify right side
    54,323.81x = 1,375,063,650.71
  5. Step 5: Solve for x
    x = 1,375,063,650.71/54,323.81
  6. Step 6: Final answer
    x = 25,312.36

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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.