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Finding the Fourth Proportional to 30,077.81, 41,506.31 and 16,649.09

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Solution

The fourth proportional to 30,077.81, 41,506.31 and 16,649.09 is: 22,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.81 : 41,506.31 = 16,649.09 : x
  2. Step 2: Convert to fraction form
    30,077.81/41,506.31 = 16,649.09/x
  3. Step 3: Cross multiply
    30,077.81x = 41,506.31 × 16,649.09
  4. Step 4: Simplify right side
    30,077.81x = 691,042,290.76
  5. Step 5: Solve for x
    x = 691,042,290.76/30,077.81
  6. Step 6: Final answer
    x = 22,975.15

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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.