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Finding the Fourth Proportional to 53,912.20, 80,829.90 and 20,619.40

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Solution

The fourth proportional to 53,912.20, 80,829.90 and 20,619.40 is: 30,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,912.20 : 80,829.90 = 20,619.40 : x
  2. Step 2: Convert to fraction form
    53,912.20/80,829.90 = 20,619.40/x
  3. Step 3: Cross multiply
    53,912.20x = 80,829.90 × 20,619.40
  4. Step 4: Simplify right side
    53,912.20x = 1,666,664,040.06
  5. Step 5: Solve for x
    x = 1,666,664,040.06/53,912.20
  6. Step 6: Final answer
    x = 30,914.41

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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.