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Finding the Fourth Proportional to 77,328.26, 115,978.48 and 35,198.54

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Solution

The fourth proportional to 77,328.26, 115,978.48 and 35,198.54 is: 52,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,328.26 : 115,978.48 = 35,198.54 : x
  2. Step 2: Convert to fraction form
    77,328.26/115,978.48 = 35,198.54/x
  3. Step 3: Cross multiply
    77,328.26x = 115,978.48 × 35,198.54
  4. Step 4: Simplify right side
    77,328.26x = 4,082,273,167.42
  5. Step 5: Solve for x
    x = 4,082,273,167.42/77,328.26
  6. Step 6: Final answer
    x = 52,791.48

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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.