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Finding the Fourth Proportional to 54,987, 75,882.47 and 29,836.50

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Solution

The fourth proportional to 54,987, 75,882.47 and 29,836.50 is: 41,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,987 : 75,882.47 = 29,836.50 : x
  2. Step 2: Convert to fraction form
    54,987/75,882.47 = 29,836.50/x
  3. Step 3: Cross multiply
    54,987x = 75,882.47 × 29,836.50
  4. Step 4: Simplify right side
    54,987x = 2,264,067,166.97
  5. Step 5: Solve for x
    x = 2,264,067,166.97/54,987
  6. Step 6: Final answer
    x = 41,174.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.