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Finding the Fourth Proportional to 54,696.48, 75,479 and 30,828

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Solution

The fourth proportional to 54,696.48, 75,479 and 30,828 is: 42,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696.48 : 75,479 = 30,828 : x
  2. Step 2: Convert to fraction form
    54,696.48/75,479 = 30,828/x
  3. Step 3: Cross multiply
    54,696.48x = 75,479 × 30,828
  4. Step 4: Simplify right side
    54,696.48x = 2,326,866,612
  5. Step 5: Solve for x
    x = 2,326,866,612/54,696.48
  6. Step 6: Final answer
    x = 42,541.43

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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.