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Finding the Fourth Proportional to 201,429.54, 277,974.60 and 109,549.68

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Solution

The fourth proportional to 201,429.54, 277,974.60 and 109,549.68 is: 151,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429.54 : 277,974.60 = 109,549.68 : x
  2. Step 2: Convert to fraction form
    201,429.54/277,974.60 = 109,549.68/x
  3. Step 3: Cross multiply
    201,429.54x = 277,974.60 × 109,549.68
  4. Step 4: Simplify right side
    201,429.54x = 30,452,028,478.13
  5. Step 5: Solve for x
    x = 30,452,028,478.13/201,429.54
  6. Step 6: Final answer
    x = 151,179.56

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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.