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Finding the Fourth Proportional to 35,764.80, 53,685.60 and 20,212.80

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Solution

The fourth proportional to 35,764.80, 53,685.60 and 20,212.80 is: 30,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764.80 : 53,685.60 = 20,212.80 : x
  2. Step 2: Convert to fraction form
    35,764.80/53,685.60 = 20,212.80/x
  3. Step 3: Cross multiply
    35,764.80x = 53,685.60 × 20,212.80
  4. Step 4: Simplify right side
    35,764.80x = 1,085,136,295.68
  5. Step 5: Solve for x
    x = 1,085,136,295.68/35,764.80
  6. Step 6: Final answer
    x = 30,340.90

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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.