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Finding the Fourth Proportional to 193,638.21, 290,571 and 81,309.78

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Solution

The fourth proportional to 193,638.21, 290,571 and 81,309.78 is: 122,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,638.21 : 290,571 = 81,309.78 : x
  2. Step 2: Convert to fraction form
    193,638.21/290,571 = 81,309.78/x
  3. Step 3: Cross multiply
    193,638.21x = 290,571 × 81,309.78
  4. Step 4: Simplify right side
    193,638.21x = 23,626,264,084.38
  5. Step 5: Solve for x
    x = 23,626,264,084.38/193,638.21
  6. Step 6: Final answer
    x = 122,012.41

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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.