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Finding the Fourth Proportional to 201,739.68, 302,745.60 and 83,410.56

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Solution

The fourth proportional to 201,739.68, 302,745.60 and 83,410.56 is: 125,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,739.68 : 302,745.60 = 83,410.56 : x
  2. Step 2: Convert to fraction form
    201,739.68/302,745.60 = 83,410.56/x
  3. Step 3: Cross multiply
    201,739.68x = 302,745.60 × 83,410.56
  4. Step 4: Simplify right side
    201,739.68x = 25,252,180,033.54
  5. Step 5: Solve for x
    x = 25,252,180,033.54/201,739.68
  6. Step 6: Final answer
    x = 125,172.10

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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.