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Finding the Fourth Proportional to 99,431.22, 149,073.92 and 46,812

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Solution

The fourth proportional to 99,431.22, 149,073.92 and 46,812 is: 70,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,431.22 : 149,073.92 = 46,812 : x
  2. Step 2: Convert to fraction form
    99,431.22/149,073.92 = 46,812/x
  3. Step 3: Cross multiply
    99,431.22x = 149,073.92 × 46,812
  4. Step 4: Simplify right side
    99,431.22x = 6,978,448,343.04
  5. Step 5: Solve for x
    x = 6,978,448,343.04/99,431.22
  6. Step 6: Final answer
    x = 70,183.67

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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.