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Finding the Fourth Proportional to 54,392.46, 81,589.41 and 21,114.42

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Solution

The fourth proportional to 54,392.46, 81,589.41 and 21,114.42 is: 31,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,392.46 : 81,589.41 = 21,114.42 : x
  2. Step 2: Convert to fraction form
    54,392.46/81,589.41 = 21,114.42/x
  3. Step 3: Cross multiply
    54,392.46x = 81,589.41 × 21,114.42
  4. Step 4: Simplify right side
    54,392.46x = 1,722,713,070.29
  5. Step 5: Solve for x
    x = 1,722,713,070.29/54,392.46
  6. Step 6: Final answer
    x = 31,671.91

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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.