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Finding the Fourth Proportional to 262,707.67, 394,116.85 and 85,200.84

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Solution

The fourth proportional to 262,707.67, 394,116.85 and 85,200.84 is: 127,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,707.67 : 394,116.85 = 85,200.84 : x
  2. Step 2: Convert to fraction form
    262,707.67/394,116.85 = 85,200.84/x
  3. Step 3: Cross multiply
    262,707.67x = 394,116.85 × 85,200.84
  4. Step 4: Simplify right side
    262,707.67x = 33,579,086,678.15
  5. Step 5: Solve for x
    x = 33,579,086,678.15/262,707.67
  6. Step 6: Final answer
    x = 127,819.21

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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.