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Finding the Fourth Proportional to 36,180, 54,238.61 and 14,009.49

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Solution

The fourth proportional to 36,180, 54,238.61 and 14,009.49 is: 21,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180 : 54,238.61 = 14,009.49 : x
  2. Step 2: Convert to fraction form
    36,180/54,238.61 = 14,009.49/x
  3. Step 3: Cross multiply
    36,180x = 54,238.61 × 14,009.49
  4. Step 4: Simplify right side
    36,180x = 759,855,299.43
  5. Step 5: Solve for x
    x = 759,855,299.43/36,180
  6. Step 6: Final answer
    x = 21,002.08

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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.