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Finding the Fourth Proportional to 78,198.51, 117,297.96 and 19,034.10

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Solution

The fourth proportional to 78,198.51, 117,297.96 and 19,034.10 is: 28,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.51 : 117,297.96 = 19,034.10 : x
  2. Step 2: Convert to fraction form
    78,198.51/117,297.96 = 19,034.10/x
  3. Step 3: Cross multiply
    78,198.51x = 117,297.96 × 19,034.10
  4. Step 4: Simplify right side
    78,198.51x = 2,232,661,100.44
  5. Step 5: Solve for x
    x = 2,232,661,100.44/78,198.51
  6. Step 6: Final answer
    x = 28,551.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.