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Finding the Fourth Proportional to 252,752.21, 379,022.91 and 102,890.78

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Solution

The fourth proportional to 252,752.21, 379,022.91 and 102,890.78 is: 154,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,752.21 : 379,022.91 = 102,890.78 : x
  2. Step 2: Convert to fraction form
    252,752.21/379,022.91 = 102,890.78/x
  3. Step 3: Cross multiply
    252,752.21x = 379,022.91 × 102,890.78
  4. Step 4: Simplify right side
    252,752.21x = 38,997,962,847.77
  5. Step 5: Solve for x
    x = 38,997,962,847.77/252,752.21
  6. Step 6: Final answer
    x = 154,293.26

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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.