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Finding the Fourth Proportional to 205,494.50, 308,241.75 and 57,750.50

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Solution

The fourth proportional to 205,494.50, 308,241.75 and 57,750.50 is: 86,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,494.50 : 308,241.75 = 57,750.50 : x
  2. Step 2: Convert to fraction form
    205,494.50/308,241.75 = 57,750.50/x
  3. Step 3: Cross multiply
    205,494.50x = 308,241.75 × 57,750.50
  4. Step 4: Simplify right side
    205,494.50x = 17,801,115,183.38
  5. Step 5: Solve for x
    x = 17,801,115,183.38/205,494.50
  6. Step 6: Final answer
    x = 86,625.75

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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.