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Finding the Fourth Proportional to 262,701.25, 394,014.94 and 85,209.81

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Solution

The fourth proportional to 262,701.25, 394,014.94 and 85,209.81 is: 127,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,701.25 : 394,014.94 = 85,209.81 : x
  2. Step 2: Convert to fraction form
    262,701.25/394,014.94 = 85,209.81/x
  3. Step 3: Cross multiply
    262,701.25x = 394,014.94 × 85,209.81
  4. Step 4: Simplify right side
    262,701.25x = 33,573,938,174.56
  5. Step 5: Solve for x
    x = 33,573,938,174.56/262,701.25
  6. Step 6: Final answer
    x = 127,802.73

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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.