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Finding the Fourth Proportional to 122,119.22, 168,544.46 and 83,847

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Solution

The fourth proportional to 122,119.22, 168,544.46 and 83,847 is: 115,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,119.22 : 168,544.46 = 83,847 : x
  2. Step 2: Convert to fraction form
    122,119.22/168,544.46 = 83,847/x
  3. Step 3: Cross multiply
    122,119.22x = 168,544.46 × 83,847
  4. Step 4: Simplify right side
    122,119.22x = 14,131,947,337.62
  5. Step 5: Solve for x
    x = 14,131,947,337.62/122,119.22
  6. Step 6: Final answer
    x = 115,722.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.