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Finding the Fourth Proportional to 201,198.56, 277,661.52 and 120,639.20

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Solution

The fourth proportional to 201,198.56, 277,661.52 and 120,639.20 is: 166,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,198.56 : 277,661.52 = 120,639.20 : x
  2. Step 2: Convert to fraction form
    201,198.56/277,661.52 = 120,639.20/x
  3. Step 3: Cross multiply
    201,198.56x = 277,661.52 × 120,639.20
  4. Step 4: Simplify right side
    201,198.56x = 33,496,863,643.58
  5. Step 5: Solve for x
    x = 33,496,863,643.58/201,198.56
  6. Step 6: Final answer
    x = 166,486.60

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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.