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Finding the Fourth Proportional to 200,914.36, 277,270.50 and 120,355

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Solution

The fourth proportional to 200,914.36, 277,270.50 and 120,355 is: 166,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914.36 : 277,270.50 = 120,355 : x
  2. Step 2: Convert to fraction form
    200,914.36/277,270.50 = 120,355/x
  3. Step 3: Cross multiply
    200,914.36x = 277,270.50 × 120,355
  4. Step 4: Simplify right side
    200,914.36x = 33,370,891,027.50
  5. Step 5: Solve for x
    x = 33,370,891,027.50/200,914.36
  6. Step 6: Final answer
    x = 166,095.10

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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.