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Finding the Fourth Proportional to 201,204, 277,661.52 and 111,780

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Solution

The fourth proportional to 201,204, 277,661.52 and 111,780 is: 154,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204 : 277,661.52 = 111,780 : x
  2. Step 2: Convert to fraction form
    201,204/277,661.52 = 111,780/x
  3. Step 3: Cross multiply
    201,204x = 277,661.52 × 111,780
  4. Step 4: Simplify right side
    201,204x = 31,037,004,705.60
  5. Step 5: Solve for x
    x = 31,037,004,705.60/201,204
  6. Step 6: Final answer
    x = 154,256.40

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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.