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Finding the Fourth Proportional to 201,297.10, 301,982.10 and 101,205.40

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Solution

The fourth proportional to 201,297.10, 301,982.10 and 101,205.40 is: 151,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297.10 : 301,982.10 = 101,205.40 : x
  2. Step 2: Convert to fraction form
    201,297.10/301,982.10 = 101,205.40/x
  3. Step 3: Cross multiply
    201,297.10x = 301,982.10 × 101,205.40
  4. Step 4: Simplify right side
    201,297.10x = 30,562,219,223.34
  5. Step 5: Solve for x
    x = 30,562,219,223.34/201,297.10
  6. Step 6: Final answer
    x = 151,826.43

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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.