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Finding the Fourth Proportional to 262,770.48, 394,150.25 and 85,277.21

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Solution

The fourth proportional to 262,770.48, 394,150.25 and 85,277.21 is: 127,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,770.48 : 394,150.25 = 85,277.21 : x
  2. Step 2: Convert to fraction form
    262,770.48/394,150.25 = 85,277.21/x
  3. Step 3: Cross multiply
    262,770.48x = 394,150.25 × 85,277.21
  4. Step 4: Simplify right side
    262,770.48x = 33,612,031,883.24
  5. Step 5: Solve for x
    x = 33,612,031,883.24/262,770.48
  6. Step 6: Final answer
    x = 127,914.03

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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.