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Finding the Fourth Proportional to 33,812.78, 50,718.54 and 10,120.34

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Solution

The fourth proportional to 33,812.78, 50,718.54 and 10,120.34 is: 15,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812.78 : 50,718.54 = 10,120.34 : x
  2. Step 2: Convert to fraction form
    33,812.78/50,718.54 = 10,120.34/x
  3. Step 3: Cross multiply
    33,812.78x = 50,718.54 × 10,120.34
  4. Step 4: Simplify right side
    33,812.78x = 513,288,869.10
  5. Step 5: Solve for x
    x = 513,288,869.10/33,812.78
  6. Step 6: Final answer
    x = 15,180.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.