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Finding the Fourth Proportional to 205,408.20, 308,112.30 and 57,664.20

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Solution

The fourth proportional to 205,408.20, 308,112.30 and 57,664.20 is: 86,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,408.20 : 308,112.30 = 57,664.20 : x
  2. Step 2: Convert to fraction form
    205,408.20/308,112.30 = 57,664.20/x
  3. Step 3: Cross multiply
    205,408.20x = 308,112.30 × 57,664.20
  4. Step 4: Simplify right side
    205,408.20x = 17,767,049,289.66
  5. Step 5: Solve for x
    x = 17,767,049,289.66/205,408.20
  6. Step 6: Final answer
    x = 86,496.30

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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.