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Finding the Fourth Proportional to 262,702.29, 394,108.79 and 85,195.46

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Solution

The fourth proportional to 262,702.29, 394,108.79 and 85,195.46 is: 127,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,702.29 : 394,108.79 = 85,195.46 : x
  2. Step 2: Convert to fraction form
    262,702.29/394,108.79 = 85,195.46/x
  3. Step 3: Cross multiply
    262,702.29x = 394,108.79 × 85,195.46
  4. Step 4: Simplify right side
    262,702.29x = 33,576,279,654.09
  5. Step 5: Solve for x
    x = 33,576,279,654.09/262,702.29
  6. Step 6: Final answer
    x = 127,811.14

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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.