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Finding the Fourth Proportional to 81,910.90, 122,866.40 and 22,746.58

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Solution

The fourth proportional to 81,910.90, 122,866.40 and 22,746.58 is: 34,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,910.90 : 122,866.40 = 22,746.58 : x
  2. Step 2: Convert to fraction form
    81,910.90/122,866.40 = 22,746.58/x
  3. Step 3: Cross multiply
    81,910.90x = 122,866.40 × 22,746.58
  4. Step 4: Simplify right side
    81,910.90x = 2,794,790,146.61
  5. Step 5: Solve for x
    x = 2,794,790,146.61/81,910.90
  6. Step 6: Final answer
    x = 34,119.88

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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.