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Finding the Fourth Proportional to 213,614.58, 320,351.40 and 78,647.52

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Solution

The fourth proportional to 213,614.58, 320,351.40 and 78,647.52 is: 117,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,614.58 : 320,351.40 = 78,647.52 : x
  2. Step 2: Convert to fraction form
    213,614.58/320,351.40 = 78,647.52/x
  3. Step 3: Cross multiply
    213,614.58x = 320,351.40 × 78,647.52
  4. Step 4: Simplify right side
    213,614.58x = 25,194,843,138.53
  5. Step 5: Solve for x
    x = 25,194,843,138.53/213,614.58
  6. Step 6: Final answer
    x = 117,945.33

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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.