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Finding the Fourth Proportional to 213,219.29, 319,721.97 and 71,014.57

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Solution

The fourth proportional to 213,219.29, 319,721.97 and 71,014.57 is: 106,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,219.29 : 319,721.97 = 71,014.57 : x
  2. Step 2: Convert to fraction form
    213,219.29/319,721.97 = 71,014.57/x
  3. Step 3: Cross multiply
    213,219.29x = 319,721.97 × 71,014.57
  4. Step 4: Simplify right side
    213,219.29x = 22,704,918,185.64
  5. Step 5: Solve for x
    x = 22,704,918,185.64/213,219.29
  6. Step 6: Final answer
    x = 106,486.23

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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.