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Finding the Fourth Proportional to 72,839.22, 100,523.22 and 40,576.41

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Solution

The fourth proportional to 72,839.22, 100,523.22 and 40,576.41 is: 55,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,839.22 : 100,523.22 = 40,576.41 : x
  2. Step 2: Convert to fraction form
    72,839.22/100,523.22 = 40,576.41/x
  3. Step 3: Cross multiply
    72,839.22x = 100,523.22 × 40,576.41
  4. Step 4: Simplify right side
    72,839.22x = 4,078,871,389.24
  5. Step 5: Solve for x
    x = 4,078,871,389.24/72,839.22
  6. Step 6: Final answer
    x = 55,998.28

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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.