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Finding the Fourth Proportional to 36,133.30, 54,209.40 and 13,947.40

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Solution

The fourth proportional to 36,133.30, 54,209.40 and 13,947.40 is: 20,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,133.30 : 54,209.40 = 13,947.40 : x
  2. Step 2: Convert to fraction form
    36,133.30/54,209.40 = 13,947.40/x
  3. Step 3: Cross multiply
    36,133.30x = 54,209.40 × 13,947.40
  4. Step 4: Simplify right side
    36,133.30x = 756,080,185.56
  5. Step 5: Solve for x
    x = 756,080,185.56/36,133.30
  6. Step 6: Final answer
    x = 20,924.75

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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.