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Finding the Fourth Proportional to 36,334.38, 50,139.50 and 20,417.80

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Solution

The fourth proportional to 36,334.38, 50,139.50 and 20,417.80 is: 28,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,334.38 : 50,139.50 = 20,417.80 : x
  2. Step 2: Convert to fraction form
    36,334.38/50,139.50 = 20,417.80/x
  3. Step 3: Cross multiply
    36,334.38x = 50,139.50 × 20,417.80
  4. Step 4: Simplify right side
    36,334.38x = 1,023,738,283.10
  5. Step 5: Solve for x
    x = 1,023,738,283.10/36,334.38
  6. Step 6: Final answer
    x = 28,175.47

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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.