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Finding the Fourth Proportional to 213,731.87, 319,019.33 and 188,517.65

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Solution

The fourth proportional to 213,731.87, 319,019.33 and 188,517.65 is: 281,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,731.87 : 319,019.33 = 188,517.65 : x
  2. Step 2: Convert to fraction form
    213,731.87/319,019.33 = 188,517.65/x
  3. Step 3: Cross multiply
    213,731.87x = 319,019.33 × 188,517.65
  4. Step 4: Simplify right side
    213,731.87x = 60,140,775,665.02
  5. Step 5: Solve for x
    x = 60,140,775,665.02/213,731.87
  6. Step 6: Final answer
    x = 281,384.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.