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Finding the Fourth Proportional to 54,943.52, 82,415.48 and 13,390.52

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Solution

The fourth proportional to 54,943.52, 82,415.48 and 13,390.52 is: 20,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,943.52 : 82,415.48 = 13,390.52 : x
  2. Step 2: Convert to fraction form
    54,943.52/82,415.48 = 13,390.52/x
  3. Step 3: Cross multiply
    54,943.52x = 82,415.48 × 13,390.52
  4. Step 4: Simplify right side
    54,943.52x = 1,103,585,654.22
  5. Step 5: Solve for x
    x = 1,103,585,654.22/54,943.52
  6. Step 6: Final answer
    x = 20,085.82

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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.