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Finding the Fourth Proportional to 54,940.95, 82,411.43 and 19,872.41

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Solution

The fourth proportional to 54,940.95, 82,411.43 and 19,872.41 is: 29,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.95 : 82,411.43 = 19,872.41 : x
  2. Step 2: Convert to fraction form
    54,940.95/82,411.43 = 19,872.41/x
  3. Step 3: Cross multiply
    54,940.95x = 82,411.43 × 19,872.41
  4. Step 4: Simplify right side
    54,940.95x = 1,637,713,214.23
  5. Step 5: Solve for x
    x = 1,637,713,214.23/54,940.95
  6. Step 6: Final answer
    x = 29,808.61

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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.