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Finding the Fourth Proportional to 36,071.86, 49,778.21 and 20,156.44

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Solution

The fourth proportional to 36,071.86, 49,778.21 and 20,156.44 is: 27,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,071.86 : 49,778.21 = 20,156.44 : x
  2. Step 2: Convert to fraction form
    36,071.86/49,778.21 = 20,156.44/x
  3. Step 3: Cross multiply
    36,071.86x = 49,778.21 × 20,156.44
  4. Step 4: Simplify right side
    36,071.86x = 1,003,351,153.50
  5. Step 5: Solve for x
    x = 1,003,351,153.50/36,071.86
  6. Step 6: Final answer
    x = 27,815.35

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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.