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Finding the Fourth Proportional to 138,224.66, 207,213.57 and 53,965.22

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Solution

The fourth proportional to 138,224.66, 207,213.57 and 53,965.22 is: 80,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,224.66 : 207,213.57 = 53,965.22 : x
  2. Step 2: Convert to fraction form
    138,224.66/207,213.57 = 53,965.22/x
  3. Step 3: Cross multiply
    138,224.66x = 207,213.57 × 53,965.22
  4. Step 4: Simplify right side
    138,224.66x = 11,182,324,855.97
  5. Step 5: Solve for x
    x = 11,182,324,855.97/138,224.66
  6. Step 6: Final answer
    x = 80,899.64

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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.