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Finding the Fourth Proportional to 36,102.40, 54,137.40 and 13,908.40

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Solution

The fourth proportional to 36,102.40, 54,137.40 and 13,908.40 is: 20,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102.40 : 54,137.40 = 13,908.40 : x
  2. Step 2: Convert to fraction form
    36,102.40/54,137.40 = 13,908.40/x
  3. Step 3: Cross multiply
    36,102.40x = 54,137.40 × 13,908.40
  4. Step 4: Simplify right side
    36,102.40x = 752,964,614.16
  5. Step 5: Solve for x
    x = 752,964,614.16/36,102.40
  6. Step 6: Final answer
    x = 20,856.36

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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.