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Finding the Fourth Proportional to 192,895.85, 289,297.31 and 74,491.67

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Solution

The fourth proportional to 192,895.85, 289,297.31 and 74,491.67 is: 111,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,895.85 : 289,297.31 = 74,491.67 : x
  2. Step 2: Convert to fraction form
    192,895.85/289,297.31 = 74,491.67/x
  3. Step 3: Cross multiply
    192,895.85x = 289,297.31 × 74,491.67
  4. Step 4: Simplify right side
    192,895.85x = 21,550,240,099.19
  5. Step 5: Solve for x
    x = 21,550,240,099.19/192,895.85
  6. Step 6: Final answer
    x = 111,719.56

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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.