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Finding the Fourth Proportional to 205,494.38, 308,241.56 and 57,750.38

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Solution

The fourth proportional to 205,494.38, 308,241.56 and 57,750.38 is: 86,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,494.38 : 308,241.56 = 57,750.38 : x
  2. Step 2: Convert to fraction form
    205,494.38/308,241.56 = 57,750.38/x
  3. Step 3: Cross multiply
    205,494.38x = 308,241.56 × 57,750.38
  4. Step 4: Simplify right side
    205,494.38x = 17,801,065,824.96
  5. Step 5: Solve for x
    x = 17,801,065,824.96/205,494.38
  6. Step 6: Final answer
    x = 86,625.56

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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.