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Finding the Fourth Proportional to 54,787.16, 82,149.05 and 21,468.22

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Solution

The fourth proportional to 54,787.16, 82,149.05 and 21,468.22 is: 32,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,787.16 : 82,149.05 = 21,468.22 : x
  2. Step 2: Convert to fraction form
    54,787.16/82,149.05 = 21,468.22/x
  3. Step 3: Cross multiply
    54,787.16x = 82,149.05 × 21,468.22
  4. Step 4: Simplify right side
    54,787.16x = 1,763,593,726.49
  5. Step 5: Solve for x
    x = 1,763,593,726.49/54,787.16
  6. Step 6: Final answer
    x = 32,189.91

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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.