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Finding the Fourth Proportional to 36,114.40, 54,098.70 and 20,513.80

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Solution

The fourth proportional to 36,114.40, 54,098.70 and 20,513.80 is: 30,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.40 : 54,098.70 = 20,513.80 : x
  2. Step 2: Convert to fraction form
    36,114.40/54,098.70 = 20,513.80/x
  3. Step 3: Cross multiply
    36,114.40x = 54,098.70 × 20,513.80
  4. Step 4: Simplify right side
    36,114.40x = 1,109,769,912.06
  5. Step 5: Solve for x
    x = 1,109,769,912.06/36,114.40
  6. Step 6: Final answer
    x = 30,729.29

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1.5x scale

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.