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Finding the Fourth Proportional to 262,704.87, 394,106.51 and 85,188.78

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Solution

The fourth proportional to 262,704.87, 394,106.51 and 85,188.78 is: 127,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,704.87 : 394,106.51 = 85,188.78 : x
  2. Step 2: Convert to fraction form
    262,704.87/394,106.51 = 85,188.78/x
  3. Step 3: Cross multiply
    262,704.87x = 394,106.51 × 85,188.78
  4. Step 4: Simplify right side
    262,704.87x = 33,573,452,989.93
  5. Step 5: Solve for x
    x = 33,573,452,989.93/262,704.87
  6. Step 6: Final answer
    x = 127,799.13

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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.