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Finding the Fourth Proportional to 213,105.87, 319,990.50 and 203,639.81

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Solution

The fourth proportional to 213,105.87, 319,990.50 and 203,639.81 is: 305,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,105.87 : 319,990.50 = 203,639.81 : x
  2. Step 2: Convert to fraction form
    213,105.87/319,990.50 = 203,639.81/x
  3. Step 3: Cross multiply
    213,105.87x = 319,990.50 × 203,639.81
  4. Step 4: Simplify right side
    213,105.87x = 65,162,803,021.85
  5. Step 5: Solve for x
    x = 65,162,803,021.85/213,105.87
  6. Step 6: Final answer
    x = 305,776.67

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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.