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Finding the Fourth Proportional to 252,739.54, 379,102 and 102,942.78

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Solution

The fourth proportional to 252,739.54, 379,102 and 102,942.78 is: 154,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,739.54 : 379,102 = 102,942.78 : x
  2. Step 2: Convert to fraction form
    252,739.54/379,102 = 102,942.78/x
  3. Step 3: Cross multiply
    252,739.54x = 379,102 × 102,942.78
  4. Step 4: Simplify right side
    252,739.54x = 39,025,813,783.56
  5. Step 5: Solve for x
    x = 39,025,813,783.56/252,739.54
  6. Step 6: Final answer
    x = 154,411.19

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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.