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Finding the Fourth Proportional to 201,976.80, 302,965.20 and 68,812.80

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Solution

The fourth proportional to 201,976.80, 302,965.20 and 68,812.80 is: 103,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.80 : 302,965.20 = 68,812.80 : x
  2. Step 2: Convert to fraction form
    201,976.80/302,965.20 = 68,812.80/x
  3. Step 3: Cross multiply
    201,976.80x = 302,965.20 × 68,812.80
  4. Step 4: Simplify right side
    201,976.80x = 20,847,883,714.56
  5. Step 5: Solve for x
    x = 20,847,883,714.56/201,976.80
  6. Step 6: Final answer
    x = 103,219.20

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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.