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Finding the Fourth Proportional to 122,696.44, 169,270.78 and 77,359.96

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Solution

The fourth proportional to 122,696.44, 169,270.78 and 77,359.96 is: 106,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,696.44 : 169,270.78 = 77,359.96 : x
  2. Step 2: Convert to fraction form
    122,696.44/169,270.78 = 77,359.96/x
  3. Step 3: Cross multiply
    122,696.44x = 169,270.78 × 77,359.96
  4. Step 4: Simplify right side
    122,696.44x = 13,094,780,769.97
  5. Step 5: Solve for x
    x = 13,094,780,769.97/122,696.44
  6. Step 6: Final answer
    x = 106,725.03

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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.