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Finding the Fourth Proportional to 200,911.97, 277,238.32 and 120,337.42

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Solution

The fourth proportional to 200,911.97, 277,238.32 and 120,337.42 is: 166,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911.97 : 277,238.32 = 120,337.42 : x
  2. Step 2: Convert to fraction form
    200,911.97/277,238.32 = 120,337.42/x
  3. Step 3: Cross multiply
    200,911.97x = 277,238.32 × 120,337.42
  4. Step 4: Simplify right side
    200,911.97x = 33,362,143,160.00
  5. Step 5: Solve for x
    x = 33,362,143,160.00/200,911.97
  6. Step 6: Final answer
    x = 166,053.54

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1.5x scale

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.