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Finding the Fourth Proportional to 54,287.88, 74,922.10 and 30,414.40

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Solution

The fourth proportional to 54,287.88, 74,922.10 and 30,414.40 is: 41,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,287.88 : 74,922.10 = 30,414.40 : x
  2. Step 2: Convert to fraction form
    54,287.88/74,922.10 = 30,414.40/x
  3. Step 3: Cross multiply
    54,287.88x = 74,922.10 × 30,414.40
  4. Step 4: Simplify right side
    54,287.88x = 2,278,710,718.24
  5. Step 5: Solve for x
    x = 2,278,710,718.24/54,287.88
  6. Step 6: Final answer
    x = 41,974.58

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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.