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Finding the Fourth Proportional to 200,966.92, 277,277.51 and 129,388.37

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Solution

The fourth proportional to 200,966.92, 277,277.51 and 129,388.37 is: 178,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966.92 : 277,277.51 = 129,388.37 : x
  2. Step 2: Convert to fraction form
    200,966.92/277,277.51 = 129,388.37/x
  3. Step 3: Cross multiply
    200,966.92x = 277,277.51 × 129,388.37
  4. Step 4: Simplify right side
    200,966.92x = 35,876,483,993.64
  5. Step 5: Solve for x
    x = 35,876,483,993.64/200,966.92
  6. Step 6: Final answer
    x = 178,519.35

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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.