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Finding the Fourth Proportional to 54,784.55, 82,187.48 and 21,048.11

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Solution

The fourth proportional to 54,784.55, 82,187.48 and 21,048.11 is: 31,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.55 : 82,187.48 = 21,048.11 : x
  2. Step 2: Convert to fraction form
    54,784.55/82,187.48 = 21,048.11/x
  3. Step 3: Cross multiply
    54,784.55x = 82,187.48 × 21,048.11
  4. Step 4: Simplify right side
    54,784.55x = 1,729,891,119.66
  5. Step 5: Solve for x
    x = 1,729,891,119.66/54,784.55
  6. Step 6: Final answer
    x = 31,576.26

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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.