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Finding the Fourth Proportional to 66,976.80, 100,428.70 and 20,223.60

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Solution

The fourth proportional to 66,976.80, 100,428.70 and 20,223.60 is: 30,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,976.80 : 100,428.70 = 20,223.60 : x
  2. Step 2: Convert to fraction form
    66,976.80/100,428.70 = 20,223.60/x
  3. Step 3: Cross multiply
    66,976.80x = 100,428.70 × 20,223.60
  4. Step 4: Simplify right side
    66,976.80x = 2,031,029,857.32
  5. Step 5: Solve for x
    x = 2,031,029,857.32/66,976.80
  6. Step 6: Final answer
    x = 30,324.38

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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.