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Finding the Fourth Proportional to 205,224.75, 307,837.13 and 55,453.55

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Solution

The fourth proportional to 205,224.75, 307,837.13 and 55,453.55 is: 83,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224.75 : 307,837.13 = 55,453.55 : x
  2. Step 2: Convert to fraction form
    205,224.75/307,837.13 = 55,453.55/x
  3. Step 3: Cross multiply
    205,224.75x = 307,837.13 × 55,453.55
  4. Step 4: Simplify right side
    205,224.75x = 17,070,659,863.86
  5. Step 5: Solve for x
    x = 17,070,659,863.86/205,224.75
  6. Step 6: Final answer
    x = 83,180.32

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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.