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Finding the Fourth Proportional to 114,161.68, 171,313.80 and 82,144

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Solution

The fourth proportional to 114,161.68, 171,313.80 and 82,144 is: 123,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,161.68 : 171,313.80 = 82,144 : x
  2. Step 2: Convert to fraction form
    114,161.68/171,313.80 = 82,144/x
  3. Step 3: Cross multiply
    114,161.68x = 171,313.80 × 82,144
  4. Step 4: Simplify right side
    114,161.68x = 14,072,400,787.20
  5. Step 5: Solve for x
    x = 14,072,400,787.20/114,161.68
  6. Step 6: Final answer
    x = 123,267.29

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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.