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Finding the Fourth Proportional to 81,902.34, 122,853.51 and 22,738.05

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Solution

The fourth proportional to 81,902.34, 122,853.51 and 22,738.05 is: 34,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902.34 : 122,853.51 = 22,738.05 : x
  2. Step 2: Convert to fraction form
    81,902.34/122,853.51 = 22,738.05/x
  3. Step 3: Cross multiply
    81,902.34x = 122,853.51 × 22,738.05
  4. Step 4: Simplify right side
    81,902.34x = 2,793,449,253.06
  5. Step 5: Solve for x
    x = 2,793,449,253.06/81,902.34
  6. Step 6: Final answer
    x = 34,107.08

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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.