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Finding the Fourth Proportional to 200,578.73, 276,762.35 and 128,942.33

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Solution

The fourth proportional to 200,578.73, 276,762.35 and 128,942.33 is: 177,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,578.73 : 276,762.35 = 128,942.33 : x
  2. Step 2: Convert to fraction form
    200,578.73/276,762.35 = 128,942.33/x
  3. Step 3: Cross multiply
    200,578.73x = 276,762.35 × 128,942.33
  4. Step 4: Simplify right side
    200,578.73x = 35,686,381,203.82
  5. Step 5: Solve for x
    x = 35,686,381,203.82/200,578.73
  6. Step 6: Final answer
    x = 177,917.08

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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.