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Finding the Fourth Proportional to 205,500, 308,250 and 57,756

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Solution

The fourth proportional to 205,500, 308,250 and 57,756 is: 86,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,500 : 308,250 = 57,756 : x
  2. Step 2: Convert to fraction form
    205,500/308,250 = 57,756/x
  3. Step 3: Cross multiply
    205,500x = 308,250 × 57,756
  4. Step 4: Simplify right side
    205,500x = 17,803,287,000
  5. Step 5: Solve for x
    x = 17,803,287,000/205,500
  6. Step 6: Final answer
    x = 86,634

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.