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Finding the Fourth Proportional to 54,802.88, 82,146 and 28,481.12

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Solution

The fourth proportional to 54,802.88, 82,146 and 28,481.12 is: 42,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,802.88 : 82,146 = 28,481.12 : x
  2. Step 2: Convert to fraction form
    54,802.88/82,146 = 28,481.12/x
  3. Step 3: Cross multiply
    54,802.88x = 82,146 × 28,481.12
  4. Step 4: Simplify right side
    54,802.88x = 2,339,610,083.52
  5. Step 5: Solve for x
    x = 2,339,610,083.52/54,802.88
  6. Step 6: Final answer
    x = 42,691.37

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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.