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Finding the Fourth Proportional to 36,180, 54,246.71 and 15,114.40

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Solution

The fourth proportional to 36,180, 54,246.71 and 15,114.40 is: 22,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180 : 54,246.71 = 15,114.40 : x
  2. Step 2: Convert to fraction form
    36,180/54,246.71 = 15,114.40/x
  3. Step 3: Cross multiply
    36,180x = 54,246.71 × 15,114.40
  4. Step 4: Simplify right side
    36,180x = 819,906,375.79
  5. Step 5: Solve for x
    x = 819,906,375.79/36,180
  6. Step 6: Final answer
    x = 22,661.87

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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.