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Finding the Fourth Proportional to 40,213.98, 55,493.42 and 22,308.80

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Solution

The fourth proportional to 40,213.98, 55,493.42 and 22,308.80 is: 30,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,213.98 : 55,493.42 = 22,308.80 : x
  2. Step 2: Convert to fraction form
    40,213.98/55,493.42 = 22,308.80/x
  3. Step 3: Cross multiply
    40,213.98x = 55,493.42 × 22,308.80
  4. Step 4: Simplify right side
    40,213.98x = 1,237,991,219.08
  5. Step 5: Solve for x
    x = 1,237,991,219.08/40,213.98
  6. Step 6: Final answer
    x = 30,785.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.