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Finding the Fourth Proportional to 203,034.26, 280,187.92 and 109,899.98

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Solution

The fourth proportional to 203,034.26, 280,187.92 and 109,899.98 is: 151,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,034.26 : 280,187.92 = 109,899.98 : x
  2. Step 2: Convert to fraction form
    203,034.26/280,187.92 = 109,899.98/x
  3. Step 3: Cross multiply
    203,034.26x = 280,187.92 × 109,899.98
  4. Step 4: Simplify right side
    203,034.26x = 30,792,646,804.24
  5. Step 5: Solve for x
    x = 30,792,646,804.24/203,034.26
  6. Step 6: Final answer
    x = 151,662.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.