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Finding the Fourth Proportional to 36,105.60, 54,180 and 12,751.68

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Solution

The fourth proportional to 36,105.60, 54,180 and 12,751.68 is: 19,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105.60 : 54,180 = 12,751.68 : x
  2. Step 2: Convert to fraction form
    36,105.60/54,180 = 12,751.68/x
  3. Step 3: Cross multiply
    36,105.60x = 54,180 × 12,751.68
  4. Step 4: Simplify right side
    36,105.60x = 690,886,022.40
  5. Step 5: Solve for x
    x = 690,886,022.40/36,105.60
  6. Step 6: Final answer
    x = 19,135.15

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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.