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Finding the Fourth Proportional to 122,698.44, 169,273.54 and 77,361.96

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Solution

The fourth proportional to 122,698.44, 169,273.54 and 77,361.96 is: 106,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,698.44 : 169,273.54 = 77,361.96 : x
  2. Step 2: Convert to fraction form
    122,698.44/169,273.54 = 77,361.96/x
  3. Step 3: Cross multiply
    122,698.44x = 169,273.54 × 77,361.96
  4. Step 4: Simplify right side
    122,698.44x = 13,095,332,830.54
  5. Step 5: Solve for x
    x = 13,095,332,830.54/122,698.44
  6. Step 6: Final answer
    x = 106,727.79

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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.