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Finding the Fourth Proportional to 201,205.10, 301,698.30 and 68,016.80

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Solution

The fourth proportional to 201,205.10, 301,698.30 and 68,016.80 is: 101,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205.10 : 301,698.30 = 68,016.80 : x
  2. Step 2: Convert to fraction form
    201,205.10/301,698.30 = 68,016.80/x
  3. Step 3: Cross multiply
    201,205.10x = 301,698.30 × 68,016.80
  4. Step 4: Simplify right side
    201,205.10x = 20,520,552,931.44
  5. Step 5: Solve for x
    x = 20,520,552,931.44/201,205.10
  6. Step 6: Final answer
    x = 101,988.23

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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.