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Finding the Fourth Proportional to 262,742.88, 394,012.56 and 85,207.20

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Solution

The fourth proportional to 262,742.88, 394,012.56 and 85,207.20 is: 127,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,742.88 : 394,012.56 = 85,207.20 : x
  2. Step 2: Convert to fraction form
    262,742.88/394,012.56 = 85,207.20/x
  3. Step 3: Cross multiply
    262,742.88x = 394,012.56 × 85,207.20
  4. Step 4: Simplify right side
    262,742.88x = 33,572,707,002.43
  5. Step 5: Solve for x
    x = 33,572,707,002.43/262,742.88
  6. Step 6: Final answer
    x = 127,777.80

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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.