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Finding the Fourth Proportional to 54,784.56, 82,187.48 and 21,048.12

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Solution

The fourth proportional to 54,784.56, 82,187.48 and 21,048.12 is: 31,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.56 : 82,187.48 = 21,048.12 : x
  2. Step 2: Convert to fraction form
    54,784.56/82,187.48 = 21,048.12/x
  3. Step 3: Cross multiply
    54,784.56x = 82,187.48 × 21,048.12
  4. Step 4: Simplify right side
    54,784.56x = 1,729,891,941.54
  5. Step 5: Solve for x
    x = 1,729,891,941.54/54,784.56
  6. Step 6: Final answer
    x = 31,576.27

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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.