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Finding the Fourth Proportional to 36,074, 54,111 and 20,280.08

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Solution

The fourth proportional to 36,074, 54,111 and 20,280.08 is: 30,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074 : 54,111 = 20,280.08 : x
  2. Step 2: Convert to fraction form
    36,074/54,111 = 20,280.08/x
  3. Step 3: Cross multiply
    36,074x = 54,111 × 20,280.08
  4. Step 4: Simplify right side
    36,074x = 1,097,375,408.88
  5. Step 5: Solve for x
    x = 1,097,375,408.88/36,074
  6. Step 6: Final answer
    x = 30,420.12

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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.