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Finding the Fourth Proportional to 27,201.57, 40,723.11 and 20,212.58

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Solution

The fourth proportional to 27,201.57, 40,723.11 and 20,212.58 is: 30,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201.57 : 40,723.11 = 20,212.58 : x
  2. Step 2: Convert to fraction form
    27,201.57/40,723.11 = 20,212.58/x
  3. Step 3: Cross multiply
    27,201.57x = 40,723.11 × 20,212.58
  4. Step 4: Simplify right side
    27,201.57x = 823,118,915.11
  5. Step 5: Solve for x
    x = 823,118,915.11/27,201.57
  6. Step 6: Final answer
    x = 30,259.98

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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.