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Finding the Fourth Proportional to 262,695.84, 394,101.38 and 85,220.80

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Solution

The fourth proportional to 262,695.84, 394,101.38 and 85,220.80 is: 127,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,695.84 : 394,101.38 = 85,220.80 : x
  2. Step 2: Convert to fraction form
    262,695.84/394,101.38 = 85,220.80/x
  3. Step 3: Cross multiply
    262,695.84x = 394,101.38 × 85,220.80
  4. Step 4: Simplify right side
    262,695.84x = 33,585,634,884.70
  5. Step 5: Solve for x
    x = 33,585,634,884.70/262,695.84
  6. Step 6: Final answer
    x = 127,849.89

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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.