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Finding the Fourth Proportional to 54,694.98, 75,478.03 and 30,821.18

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Solution

The fourth proportional to 54,694.98, 75,478.03 and 30,821.18 is: 42,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694.98 : 75,478.03 = 30,821.18 : x
  2. Step 2: Convert to fraction form
    54,694.98/75,478.03 = 30,821.18/x
  3. Step 3: Cross multiply
    54,694.98x = 75,478.03 × 30,821.18
  4. Step 4: Simplify right side
    54,694.98x = 2,326,321,494.23
  5. Step 5: Solve for x
    x = 2,326,321,494.23/54,694.98
  6. Step 6: Final answer
    x = 42,532.63

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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.