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Finding the Fourth Proportional to 205,510, 308,265 and 57,766

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Solution

The fourth proportional to 205,510, 308,265 and 57,766 is: 86,649

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,510 : 308,265 = 57,766 : x
  2. Step 2: Convert to fraction form
    205,510/308,265 = 57,766/x
  3. Step 3: Cross multiply
    205,510x = 308,265 × 57,766
  4. Step 4: Simplify right side
    205,510x = 17,807,235,990
  5. Step 5: Solve for x
    x = 17,807,235,990/205,510
  6. Step 6: Final answer
    x = 86,649

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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.