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Finding the Fourth Proportional to 262,638.92, 394,020.76 and 85,146.06

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Solution

The fourth proportional to 262,638.92, 394,020.76 and 85,146.06 is: 127,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,638.92 : 394,020.76 = 85,146.06 : x
  2. Step 2: Convert to fraction form
    262,638.92/394,020.76 = 85,146.06/x
  3. Step 3: Cross multiply
    262,638.92x = 394,020.76 × 85,146.06
  4. Step 4: Simplify right side
    262,638.92x = 33,549,315,272.21
  5. Step 5: Solve for x
    x = 33,549,315,272.21/262,638.92
  6. Step 6: Final answer
    x = 127,739.31

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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.