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Finding the Fourth Proportional to 262,852.56, 394,278.44 and 105,118

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Solution

The fourth proportional to 262,852.56, 394,278.44 and 105,118 is: 157,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,852.56 : 394,278.44 = 105,118 : x
  2. Step 2: Convert to fraction form
    262,852.56/394,278.44 = 105,118/x
  3. Step 3: Cross multiply
    262,852.56x = 394,278.44 × 105,118
  4. Step 4: Simplify right side
    262,852.56x = 41,445,761,055.92
  5. Step 5: Solve for x
    x = 41,445,761,055.92/262,852.56
  6. Step 6: Final answer
    x = 157,676.84

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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.