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Finding the Fourth Proportional to 81,871.84, 122,807.80 and 22,722.40

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Solution

The fourth proportional to 81,871.84, 122,807.80 and 22,722.40 is: 34,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,871.84 : 122,807.80 = 22,722.40 : x
  2. Step 2: Convert to fraction form
    81,871.84/122,807.80 = 22,722.40/x
  3. Step 3: Cross multiply
    81,871.84x = 122,807.80 × 22,722.40
  4. Step 4: Simplify right side
    81,871.84x = 2,790,487,954.72
  5. Step 5: Solve for x
    x = 2,790,487,954.72/81,871.84
  6. Step 6: Final answer
    x = 34,083.61

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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.