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Finding the Fourth Proportional to 36,402.20, 50,232.90 and 20,486

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Solution

The fourth proportional to 36,402.20, 50,232.90 and 20,486 is: 28,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,402.20 : 50,232.90 = 20,486 : x
  2. Step 2: Convert to fraction form
    36,402.20/50,232.90 = 20,486/x
  3. Step 3: Cross multiply
    36,402.20x = 50,232.90 × 20,486
  4. Step 4: Simplify right side
    36,402.20x = 1,029,071,189.40
  5. Step 5: Solve for x
    x = 1,029,071,189.40/36,402.20
  6. Step 6: Final answer
    x = 28,269.48

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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.