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Finding the Fourth Proportional to 201,067.20, 277,471.80 and 111,643.20

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Solution

The fourth proportional to 201,067.20, 277,471.80 and 111,643.20 is: 154,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,067.20 : 277,471.80 = 111,643.20 : x
  2. Step 2: Convert to fraction form
    201,067.20/277,471.80 = 111,643.20/x
  3. Step 3: Cross multiply
    201,067.20x = 277,471.80 × 111,643.20
  4. Step 4: Simplify right side
    201,067.20x = 30,977,839,661.76
  5. Step 5: Solve for x
    x = 30,977,839,661.76/201,067.20
  6. Step 6: Final answer
    x = 154,067.10

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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.