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Finding the Fourth Proportional to 36,078, 54,119.88 and 11,454

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Solution

The fourth proportional to 36,078, 54,119.88 and 11,454 is: 17,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078 : 54,119.88 = 11,454 : x
  2. Step 2: Convert to fraction form
    36,078/54,119.88 = 11,454/x
  3. Step 3: Cross multiply
    36,078x = 54,119.88 × 11,454
  4. Step 4: Simplify right side
    36,078x = 619,889,105.52
  5. Step 5: Solve for x
    x = 619,889,105.52/36,078
  6. Step 6: Final answer
    x = 17,181.91

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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.