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Finding the Fourth Proportional to 36,291.20, 50,078.40 and 20,372

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Solution

The fourth proportional to 36,291.20, 50,078.40 and 20,372 is: 28,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291.20 : 50,078.40 = 20,372 : x
  2. Step 2: Convert to fraction form
    36,291.20/50,078.40 = 20,372/x
  3. Step 3: Cross multiply
    36,291.20x = 50,078.40 × 20,372
  4. Step 4: Simplify right side
    36,291.20x = 1,020,197,164.80
  5. Step 5: Solve for x
    x = 1,020,197,164.80/36,291.20
  6. Step 6: Final answer
    x = 28,111.42

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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.