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Finding the Fourth Proportional to 54,005, 81,011.74 and 14,561.52

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Solution

The fourth proportional to 54,005, 81,011.74 and 14,561.52 is: 21,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,005 : 81,011.74 = 14,561.52 : x
  2. Step 2: Convert to fraction form
    54,005/81,011.74 = 14,561.52/x
  3. Step 3: Cross multiply
    54,005x = 81,011.74 × 14,561.52
  4. Step 4: Simplify right side
    54,005x = 1,179,654,072.24
  5. Step 5: Solve for x
    x = 1,179,654,072.24/54,005
  6. Step 6: Final answer
    x = 21,843.42

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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.