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Finding the Fourth Proportional to 213,229.71, 319,876.16 and 71,028.54

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Solution

The fourth proportional to 213,229.71, 319,876.16 and 71,028.54 is: 106,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,229.71 : 319,876.16 = 71,028.54 : x
  2. Step 2: Convert to fraction form
    213,229.71/319,876.16 = 71,028.54/x
  3. Step 3: Cross multiply
    213,229.71x = 319,876.16 × 71,028.54
  4. Step 4: Simplify right side
    213,229.71x = 22,720,336,270.46
  5. Step 5: Solve for x
    x = 22,720,336,270.46/213,229.71
  6. Step 6: Final answer
    x = 106,553.33

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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.