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Finding the Fourth Proportional to 168,471.36, 252,706.32 and 43,812

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Solution

The fourth proportional to 168,471.36, 252,706.32 and 43,812 is: 65,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,471.36 : 252,706.32 = 43,812 : x
  2. Step 2: Convert to fraction form
    168,471.36/252,706.32 = 43,812/x
  3. Step 3: Cross multiply
    168,471.36x = 252,706.32 × 43,812
  4. Step 4: Simplify right side
    168,471.36x = 11,071,569,291.84
  5. Step 5: Solve for x
    x = 11,071,569,291.84/168,471.36
  6. Step 6: Final answer
    x = 65,717.81

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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.