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Finding the Fourth Proportional to 213,907.21, 295,208.35 and 122,028.52

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Solution

The fourth proportional to 213,907.21, 295,208.35 and 122,028.52 is: 168,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,907.21 : 295,208.35 = 122,028.52 : x
  2. Step 2: Convert to fraction form
    213,907.21/295,208.35 = 122,028.52/x
  3. Step 3: Cross multiply
    213,907.21x = 295,208.35 × 122,028.52
  4. Step 4: Simplify right side
    213,907.21x = 36,023,836,965.83
  5. Step 5: Solve for x
    x = 36,023,836,965.83/213,907.21
  6. Step 6: Final answer
    x = 168,408.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.