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Finding the Fourth Proportional to 81,881.30, 122,822.01 and 22,717.03

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Solution

The fourth proportional to 81,881.30, 122,822.01 and 22,717.03 is: 34,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881.30 : 122,822.01 = 22,717.03 : x
  2. Step 2: Convert to fraction form
    81,881.30/122,822.01 = 22,717.03/x
  3. Step 3: Cross multiply
    81,881.30x = 122,822.01 × 22,717.03
  4. Step 4: Simplify right side
    81,881.30x = 2,790,150,671.72
  5. Step 5: Solve for x
    x = 2,790,150,671.72/81,881.30
  6. Step 6: Final answer
    x = 34,075.55

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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.