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Finding the Fourth Proportional to 136,896.44, 188,917.38 and 77,280.44

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Solution

The fourth proportional to 136,896.44, 188,917.38 and 77,280.44 is: 106,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,896.44 : 188,917.38 = 77,280.44 : x
  2. Step 2: Convert to fraction form
    136,896.44/188,917.38 = 77,280.44/x
  3. Step 3: Cross multiply
    136,896.44x = 188,917.38 × 77,280.44
  4. Step 4: Simplify right side
    136,896.44x = 14,599,618,250.05
  5. Step 5: Solve for x
    x = 14,599,618,250.05/136,896.44
  6. Step 6: Final answer
    x = 106,647.17

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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.