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Finding the Fourth Proportional to 30,271.92, 41,745.94 and 20,200.78

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Solution

The fourth proportional to 30,271.92, 41,745.94 and 20,200.78 is: 27,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.92 : 41,745.94 = 20,200.78 : x
  2. Step 2: Convert to fraction form
    30,271.92/41,745.94 = 20,200.78/x
  3. Step 3: Cross multiply
    30,271.92x = 41,745.94 × 20,200.78
  4. Step 4: Simplify right side
    30,271.92x = 843,300,549.83
  5. Step 5: Solve for x
    x = 843,300,549.83/30,271.92
  6. Step 6: Final answer
    x = 27,857.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.