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Finding the Fourth Proportional to 213,634.78, 320,453.25 and 55,863.58

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Solution

The fourth proportional to 213,634.78, 320,453.25 and 55,863.58 is: 83,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,634.78 : 320,453.25 = 55,863.58 : x
  2. Step 2: Convert to fraction form
    213,634.78/320,453.25 = 55,863.58/x
  3. Step 3: Cross multiply
    213,634.78x = 320,453.25 × 55,863.58
  4. Step 4: Simplify right side
    213,634.78x = 17,901,665,767.64
  5. Step 5: Solve for x
    x = 17,901,665,767.64/213,634.78
  6. Step 6: Final answer
    x = 83,795.65

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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.