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Finding the Fourth Proportional to 213,313.65, 319,912.16 and 80,183.67

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Solution

The fourth proportional to 213,313.65, 319,912.16 and 80,183.67 is: 120,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,313.65 : 319,912.16 = 80,183.67 : x
  2. Step 2: Convert to fraction form
    213,313.65/319,912.16 = 80,183.67/x
  3. Step 3: Cross multiply
    213,313.65x = 319,912.16 × 80,183.67
  4. Step 4: Simplify right side
    213,313.65x = 25,651,730,665.51
  5. Step 5: Solve for x
    x = 25,651,730,665.51/213,313.65
  6. Step 6: Final answer
    x = 120,253.58

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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.