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Finding the Fourth Proportional to 54,004.68, 81,007 and 20,278.44

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Solution

The fourth proportional to 54,004.68, 81,007 and 20,278.44 is: 30,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,004.68 : 81,007 = 20,278.44 : x
  2. Step 2: Convert to fraction form
    54,004.68/81,007 = 20,278.44/x
  3. Step 3: Cross multiply
    54,004.68x = 81,007 × 20,278.44
  4. Step 4: Simplify right side
    54,004.68x = 1,642,695,589.08
  5. Step 5: Solve for x
    x = 1,642,695,589.08/54,004.68
  6. Step 6: Final answer
    x = 30,417.65

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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.