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Finding the Fourth Proportional to 100,214.45, 138,297.92 and 54,892.43

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Solution

The fourth proportional to 100,214.45, 138,297.92 and 54,892.43 is: 75,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214.45 : 138,297.92 = 54,892.43 : x
  2. Step 2: Convert to fraction form
    100,214.45/138,297.92 = 54,892.43/x
  3. Step 3: Cross multiply
    100,214.45x = 138,297.92 × 54,892.43
  4. Step 4: Simplify right side
    100,214.45x = 7,591,508,201.26
  5. Step 5: Solve for x
    x = 7,591,508,201.26/100,214.45
  6. Step 6: Final answer
    x = 75,752.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.