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Finding the Fourth Proportional to 201,103.78, 301,651.04 and 101,237.16

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Solution

The fourth proportional to 201,103.78, 301,651.04 and 101,237.16 is: 151,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,103.78 : 301,651.04 = 101,237.16 : x
  2. Step 2: Convert to fraction form
    201,103.78/301,651.04 = 101,237.16/x
  3. Step 3: Cross multiply
    201,103.78x = 301,651.04 × 101,237.16
  4. Step 4: Simplify right side
    201,103.78x = 30,538,294,600.65
  5. Step 5: Solve for x
    x = 30,538,294,600.65/201,103.78
  6. Step 6: Final answer
    x = 151,853.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.