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Finding the Fourth Proportional to 81,906.25, 122,888.94 and 28,606.07

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Solution

The fourth proportional to 81,906.25, 122,888.94 and 28,606.07 is: 42,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.25 : 122,888.94 = 28,606.07 : x
  2. Step 2: Convert to fraction form
    81,906.25/122,888.94 = 28,606.07/x
  3. Step 3: Cross multiply
    81,906.25x = 122,888.94 × 28,606.07
  4. Step 4: Simplify right side
    81,906.25x = 3,515,369,927.09
  5. Step 5: Solve for x
    x = 3,515,369,927.09/81,906.25
  6. Step 6: Final answer
    x = 42,919.44

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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.