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Finding the Fourth Proportional to 262,701.80, 394,108.04 and 85,194.96

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Solution

The fourth proportional to 262,701.80, 394,108.04 and 85,194.96 is: 127,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,701.80 : 394,108.04 = 85,194.96 : x
  2. Step 2: Convert to fraction form
    262,701.80/394,108.04 = 85,194.96/x
  3. Step 3: Cross multiply
    262,701.80x = 394,108.04 × 85,194.96
  4. Step 4: Simplify right side
    262,701.80x = 33,576,018,703.48
  5. Step 5: Solve for x
    x = 33,576,018,703.48/262,701.80
  6. Step 6: Final answer
    x = 127,810.39

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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.