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Finding the Fourth Proportional to 224,071.75, 309,234 and 123,469.75

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Solution

The fourth proportional to 224,071.75, 309,234 and 123,469.75 is: 170,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,071.75 : 309,234 = 123,469.75 : x
  2. Step 2: Convert to fraction form
    224,071.75/309,234 = 123,469.75/x
  3. Step 3: Cross multiply
    224,071.75x = 309,234 × 123,469.75
  4. Step 4: Simplify right side
    224,071.75x = 38,181,044,671.50
  5. Step 5: Solve for x
    x = 38,181,044,671.50/224,071.75
  6. Step 6: Final answer
    x = 170,396.51

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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.