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Finding the Fourth Proportional to 213,732.87, 319,020.83 and 188,518.65

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Solution

The fourth proportional to 213,732.87, 319,020.83 and 188,518.65 is: 281,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,732.87 : 319,020.83 = 188,518.65 : x
  2. Step 2: Convert to fraction form
    213,732.87/319,020.83 = 188,518.65/x
  3. Step 3: Cross multiply
    213,732.87x = 319,020.83 × 188,518.65
  4. Step 4: Simplify right side
    213,732.87x = 60,141,376,193.48
  5. Step 5: Solve for x
    x = 60,141,376,193.48/213,732.87
  6. Step 6: Final answer
    x = 281,385.71

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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.