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Finding the Fourth Proportional to 252,751.21, 379,021.41 and 102,889.78

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Solution

The fourth proportional to 252,751.21, 379,021.41 and 102,889.78 is: 154,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,751.21 : 379,021.41 = 102,889.78 : x
  2. Step 2: Convert to fraction form
    252,751.21/379,021.41 = 102,889.78/x
  3. Step 3: Cross multiply
    252,751.21x = 379,021.41 × 102,889.78
  4. Step 4: Simplify right side
    252,751.21x = 38,997,429,490.19
  5. Step 5: Solve for x
    x = 38,997,429,490.19/252,751.21
  6. Step 6: Final answer
    x = 154,291.76

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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.