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Finding the Fourth Proportional to 40,223.78, 55,512 and 22,322.27

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Solution

The fourth proportional to 40,223.78, 55,512 and 22,322.27 is: 30,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,223.78 : 55,512 = 22,322.27 : x
  2. Step 2: Convert to fraction form
    40,223.78/55,512 = 22,322.27/x
  3. Step 3: Cross multiply
    40,223.78x = 55,512 × 22,322.27
  4. Step 4: Simplify right side
    40,223.78x = 1,239,153,991.02
  5. Step 5: Solve for x
    x = 1,239,153,991.02/40,223.78
  6. Step 6: Final answer
    x = 30,806.50

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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.