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Finding the Fourth Proportional to 81,418.34, 122,134.80 and 22,254.32

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Solution

The fourth proportional to 81,418.34, 122,134.80 and 22,254.32 is: 33,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,418.34 : 122,134.80 = 22,254.32 : x
  2. Step 2: Convert to fraction form
    81,418.34/122,134.80 = 22,254.32/x
  3. Step 3: Cross multiply
    81,418.34x = 122,134.80 × 22,254.32
  4. Step 4: Simplify right side
    81,418.34x = 2,718,026,922.34
  5. Step 5: Solve for x
    x = 2,718,026,922.34/81,418.34
  6. Step 6: Final answer
    x = 33,383.47

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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.