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Finding the Fourth Proportional to 36,540.59, 54,827.80 and 19,880.78

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Solution

The fourth proportional to 36,540.59, 54,827.80 and 19,880.78 is: 29,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540.59 : 54,827.80 = 19,880.78 : x
  2. Step 2: Convert to fraction form
    36,540.59/54,827.80 = 19,880.78/x
  3. Step 3: Cross multiply
    36,540.59x = 54,827.80 × 19,880.78
  4. Step 4: Simplify right side
    36,540.59x = 1,090,019,429.68
  5. Step 5: Solve for x
    x = 1,090,019,429.68/36,540.59
  6. Step 6: Final answer
    x = 29,830.37

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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.