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Finding the Fourth Proportional to 217,224.78, 325,836.51 and 55,118.51

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Solution

The fourth proportional to 217,224.78, 325,836.51 and 55,118.51 is: 82,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224.78 : 325,836.51 = 55,118.51 : x
  2. Step 2: Convert to fraction form
    217,224.78/325,836.51 = 55,118.51/x
  3. Step 3: Cross multiply
    217,224.78x = 325,836.51 × 55,118.51
  4. Step 4: Simplify right side
    217,224.78x = 17,959,622,934.80
  5. Step 5: Solve for x
    x = 17,959,622,934.80/217,224.78
  6. Step 6: Final answer
    x = 82,677.60

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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.