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Finding the Fourth Proportional to 81,877.84, 122,816.80 and 22,728.40

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Solution

The fourth proportional to 81,877.84, 122,816.80 and 22,728.40 is: 34,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.84 : 122,816.80 = 22,728.40 : x
  2. Step 2: Convert to fraction form
    81,877.84/122,816.80 = 22,728.40/x
  3. Step 3: Cross multiply
    81,877.84x = 122,816.80 × 22,728.40
  4. Step 4: Simplify right side
    81,877.84x = 2,791,429,357.12
  5. Step 5: Solve for x
    x = 2,791,429,357.12/81,877.84
  6. Step 6: Final answer
    x = 34,092.61

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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.