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Finding the Fourth Proportional to 262,886.85, 394,172.34 and 102,772.09

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Solution

The fourth proportional to 262,886.85, 394,172.34 and 102,772.09 is: 154,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,886.85 : 394,172.34 = 102,772.09 : x
  2. Step 2: Convert to fraction form
    262,886.85/394,172.34 = 102,772.09/x
  3. Step 3: Cross multiply
    262,886.85x = 394,172.34 × 102,772.09
  4. Step 4: Simplify right side
    262,886.85x = 40,509,913,092.09
  5. Step 5: Solve for x
    x = 40,509,913,092.09/262,886.85
  6. Step 6: Final answer
    x = 154,096.38

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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.