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Finding the Fourth Proportional to 224,143.88, 309,315.83 and 122,169.03

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Solution

The fourth proportional to 224,143.88, 309,315.83 and 122,169.03 is: 168,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,143.88 : 309,315.83 = 122,169.03 : x
  2. Step 2: Convert to fraction form
    224,143.88/309,315.83 = 122,169.03/x
  3. Step 3: Cross multiply
    224,143.88x = 309,315.83 × 122,169.03
  4. Step 4: Simplify right side
    224,143.88x = 37,788,814,914.74
  5. Step 5: Solve for x
    x = 37,788,814,914.74/224,143.88
  6. Step 6: Final answer
    x = 168,591.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.