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Finding the Fourth Proportional to 201,360, 277,877.76 and 111,936

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Solution

The fourth proportional to 201,360, 277,877.76 and 111,936 is: 154,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,360 : 277,877.76 = 111,936 : x
  2. Step 2: Convert to fraction form
    201,360/277,877.76 = 111,936/x
  3. Step 3: Cross multiply
    201,360x = 277,877.76 × 111,936
  4. Step 4: Simplify right side
    201,360x = 31,104,524,943.36
  5. Step 5: Solve for x
    x = 31,104,524,943.36/201,360
  6. Step 6: Final answer
    x = 154,472.21

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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.