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Finding the Fourth Proportional to 263,728.47, 395,610.93 and 105,956.91

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Solution

The fourth proportional to 263,728.47, 395,610.93 and 105,956.91 is: 158,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,728.47 : 395,610.93 = 105,956.91 : x
  2. Step 2: Convert to fraction form
    263,728.47/395,610.93 = 105,956.91/x
  3. Step 3: Cross multiply
    263,728.47x = 395,610.93 × 105,956.91
  4. Step 4: Simplify right side
    263,728.47x = 41,917,711,705.03
  5. Step 5: Solve for x
    x = 41,917,711,705.03/263,728.47
  6. Step 6: Final answer
    x = 158,942.69

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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.