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Finding the Fourth Proportional to 205,494, 308,241 and 57,750

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Solution

The fourth proportional to 205,494, 308,241 and 57,750 is: 86,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,494 : 308,241 = 57,750 : x
  2. Step 2: Convert to fraction form
    205,494/308,241 = 57,750/x
  3. Step 3: Cross multiply
    205,494x = 308,241 × 57,750
  4. Step 4: Simplify right side
    205,494x = 17,800,917,750
  5. Step 5: Solve for x
    x = 17,800,917,750/205,494
  6. Step 6: Final answer
    x = 86,625

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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.