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Finding the Fourth Proportional to 81,782.60, 122,676.32 and 22,622.63

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Solution

The fourth proportional to 81,782.60, 122,676.32 and 22,622.63 is: 33,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,782.60 : 122,676.32 = 22,622.63 : x
  2. Step 2: Convert to fraction form
    81,782.60/122,676.32 = 22,622.63/x
  3. Step 3: Cross multiply
    81,782.60x = 122,676.32 × 22,622.63
  4. Step 4: Simplify right side
    81,782.60x = 2,775,260,440.30
  5. Step 5: Solve for x
    x = 2,775,260,440.30/81,782.60
  6. Step 6: Final answer
    x = 33,934.61

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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.