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Finding the Fourth Proportional to 54,878.97, 75,732.73 and 29,728.47

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Solution

The fourth proportional to 54,878.97, 75,732.73 and 29,728.47 is: 41,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.97 : 75,732.73 = 29,728.47 : x
  2. Step 2: Convert to fraction form
    54,878.97/75,732.73 = 29,728.47/x
  3. Step 3: Cross multiply
    54,878.97x = 75,732.73 × 29,728.47
  4. Step 4: Simplify right side
    54,878.97x = 2,251,418,117.50
  5. Step 5: Solve for x
    x = 2,251,418,117.50/54,878.97
  6. Step 6: Final answer
    x = 41,025.15

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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.