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Finding the Fourth Proportional to 57,106.48, 85,698.48 and 20,170.48

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Solution

The fourth proportional to 57,106.48, 85,698.48 and 20,170.48 is: 30,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106.48 : 85,698.48 = 20,170.48 : x
  2. Step 2: Convert to fraction form
    57,106.48/85,698.48 = 20,170.48/x
  3. Step 3: Cross multiply
    57,106.48x = 85,698.48 × 20,170.48
  4. Step 4: Simplify right side
    57,106.48x = 1,728,579,476.87
  5. Step 5: Solve for x
    x = 1,728,579,476.87/57,106.48
  6. Step 6: Final answer
    x = 30,269.41

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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.