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Finding the Fourth Proportional to 213,300, 319,924.44 and 55,540.80

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Solution

The fourth proportional to 213,300, 319,924.44 and 55,540.80 is: 83,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,300 : 319,924.44 = 55,540.80 : x
  2. Step 2: Convert to fraction form
    213,300/319,924.44 = 55,540.80/x
  3. Step 3: Cross multiply
    213,300x = 319,924.44 × 55,540.80
  4. Step 4: Simplify right side
    213,300x = 17,768,859,337.15
  5. Step 5: Solve for x
    x = 17,768,859,337.15/213,300
  6. Step 6: Final answer
    x = 83,304.54

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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.