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Finding the Fourth Proportional to 81,886.80, 122,816.46 and 22,728.48

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Solution

The fourth proportional to 81,886.80, 122,816.46 and 22,728.48 is: 34,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886.80 : 122,816.46 = 22,728.48 : x
  2. Step 2: Convert to fraction form
    81,886.80/122,816.46 = 22,728.48/x
  3. Step 3: Cross multiply
    81,886.80x = 122,816.46 × 22,728.48
  4. Step 4: Simplify right side
    81,886.80x = 2,791,431,454.78
  5. Step 5: Solve for x
    x = 2,791,431,454.78/81,886.80
  6. Step 6: Final answer
    x = 34,088.91

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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.