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Finding the Fourth Proportional to 192,873.25, 266,164.78 and 107,990.32

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Solution

The fourth proportional to 192,873.25, 266,164.78 and 107,990.32 is: 149,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,873.25 : 266,164.78 = 107,990.32 : x
  2. Step 2: Convert to fraction form
    192,873.25/266,164.78 = 107,990.32/x
  3. Step 3: Cross multiply
    192,873.25x = 266,164.78 × 107,990.32
  4. Step 4: Simplify right side
    192,873.25x = 28,743,219,764.93
  5. Step 5: Solve for x
    x = 28,743,219,764.93/192,873.25
  6. Step 6: Final answer
    x = 149,026.47

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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.