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Finding the Fourth Proportional to 213,620.22, 320,448.51 and 55,848.42

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Solution

The fourth proportional to 213,620.22, 320,448.51 and 55,848.42 is: 83,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,620.22 : 320,448.51 = 55,848.42 : x
  2. Step 2: Convert to fraction form
    213,620.22/320,448.51 = 55,848.42/x
  3. Step 3: Cross multiply
    213,620.22x = 320,448.51 × 55,848.42
  4. Step 4: Simplify right side
    213,620.22x = 17,896,542,974.85
  5. Step 5: Solve for x
    x = 17,896,542,974.85/213,620.22
  6. Step 6: Final answer
    x = 83,777.38

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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.