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Finding the Fourth Proportional to 54,189.05, 81,239.84 and 49,815.05

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Solution

The fourth proportional to 54,189.05, 81,239.84 and 49,815.05 is: 74,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189.05 : 81,239.84 = 49,815.05 : x
  2. Step 2: Convert to fraction form
    54,189.05/81,239.84 = 49,815.05/x
  3. Step 3: Cross multiply
    54,189.05x = 81,239.84 × 49,815.05
  4. Step 4: Simplify right side
    54,189.05x = 4,046,966,442.52
  5. Step 5: Solve for x
    x = 4,046,966,442.52/54,189.05
  6. Step 6: Final answer
    x = 74,682.37

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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.