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Finding the Fourth Proportional to 81,365.90, 122,068.34 and 33,954.61

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Solution

The fourth proportional to 81,365.90, 122,068.34 and 33,954.61 is: 50,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,365.90 : 122,068.34 = 33,954.61 : x
  2. Step 2: Convert to fraction form
    81,365.90/122,068.34 = 33,954.61/x
  3. Step 3: Cross multiply
    81,365.90x = 122,068.34 × 33,954.61
  4. Step 4: Simplify right side
    81,365.90x = 4,144,782,878.05
  5. Step 5: Solve for x
    x = 4,144,782,878.05/81,365.90
  6. Step 6: Final answer
    x = 50,940.05

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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.