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Finding the Fourth Proportional to 54,382.82, 81,574.04 and 30,679.62

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Solution

The fourth proportional to 54,382.82, 81,574.04 and 30,679.62 is: 46,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.82 : 81,574.04 = 30,679.62 : x
  2. Step 2: Convert to fraction form
    54,382.82/81,574.04 = 30,679.62/x
  3. Step 3: Cross multiply
    54,382.82x = 81,574.04 × 30,679.62
  4. Step 4: Simplify right side
    54,382.82x = 2,502,660,141.19
  5. Step 5: Solve for x
    x = 2,502,660,141.19/54,382.82
  6. Step 6: Final answer
    x = 46,019.31

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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.