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Finding the Fourth Proportional to 49,161.87, 73,742.81 and 21,063.78

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Solution

The fourth proportional to 49,161.87, 73,742.81 and 21,063.78 is: 31,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,161.87 : 73,742.81 = 21,063.78 : x
  2. Step 2: Convert to fraction form
    49,161.87/73,742.81 = 21,063.78/x
  3. Step 3: Cross multiply
    49,161.87x = 73,742.81 × 21,063.78
  4. Step 4: Simplify right side
    49,161.87x = 1,553,302,221.10
  5. Step 5: Solve for x
    x = 1,553,302,221.10/49,161.87
  6. Step 6: Final answer
    x = 31,595.67

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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.