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Finding the Fourth Proportional to 32,738.21, 45,142.95 and 22,109.39

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Solution

The fourth proportional to 32,738.21, 45,142.95 and 22,109.39 is: 30,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738.21 : 45,142.95 = 22,109.39 : x
  2. Step 2: Convert to fraction form
    32,738.21/45,142.95 = 22,109.39/x
  3. Step 3: Cross multiply
    32,738.21x = 45,142.95 × 22,109.39
  4. Step 4: Simplify right side
    32,738.21x = 998,083,113.78
  5. Step 5: Solve for x
    x = 998,083,113.78/32,738.21
  6. Step 6: Final answer
    x = 30,486.80

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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.