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Finding the Fourth Proportional to 81,813.84, 122,706.36 and 21,843.06

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Solution

The fourth proportional to 81,813.84, 122,706.36 and 21,843.06 is: 32,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,813.84 : 122,706.36 = 21,843.06 : x
  2. Step 2: Convert to fraction form
    81,813.84/122,706.36 = 21,843.06/x
  3. Step 3: Cross multiply
    81,813.84x = 122,706.36 × 21,843.06
  4. Step 4: Simplify right side
    81,813.84x = 2,680,282,383.86
  5. Step 5: Solve for x
    x = 2,680,282,383.86/81,813.84
  6. Step 6: Final answer
    x = 32,760.75

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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.