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Finding the Fourth Proportional to 30,047.96, 41,464.92 and 16,435.78

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Solution

The fourth proportional to 30,047.96, 41,464.92 and 16,435.78 is: 22,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.96 : 41,464.92 = 16,435.78 : x
  2. Step 2: Convert to fraction form
    30,047.96/41,464.92 = 16,435.78/x
  3. Step 3: Cross multiply
    30,047.96x = 41,464.92 × 16,435.78
  4. Step 4: Simplify right side
    30,047.96x = 681,508,302.84
  5. Step 5: Solve for x
    x = 681,508,302.84/30,047.96
  6. Step 6: Final answer
    x = 22,680.68

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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.