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Finding the Fourth Proportional to 54,067.50, 81,097.20 and 19,007.46

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Solution

The fourth proportional to 54,067.50, 81,097.20 and 19,007.46 is: 28,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,067.50 : 81,097.20 = 19,007.46 : x
  2. Step 2: Convert to fraction form
    54,067.50/81,097.20 = 19,007.46/x
  3. Step 3: Cross multiply
    54,067.50x = 81,097.20 × 19,007.46
  4. Step 4: Simplify right side
    54,067.50x = 1,541,451,785.11
  5. Step 5: Solve for x
    x = 1,541,451,785.11/54,067.50
  6. Step 6: Final answer
    x = 28,509.77

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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.