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Finding the Fourth Proportional to 262,972.88, 394,420.44 and 96,722

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Solution

The fourth proportional to 262,972.88, 394,420.44 and 96,722 is: 145,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,972.88 : 394,420.44 = 96,722 : x
  2. Step 2: Convert to fraction form
    262,972.88/394,420.44 = 96,722/x
  3. Step 3: Cross multiply
    262,972.88x = 394,420.44 × 96,722
  4. Step 4: Simplify right side
    262,972.88x = 38,149,133,797.68
  5. Step 5: Solve for x
    x = 38,149,133,797.68/262,972.88
  6. Step 6: Final answer
    x = 145,068.70

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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.