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Finding the Fourth Proportional to 205,526, 308,289 and 57,782

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Solution

The fourth proportional to 205,526, 308,289 and 57,782 is: 86,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,526 : 308,289 = 57,782 : x
  2. Step 2: Convert to fraction form
    205,526/308,289 = 57,782/x
  3. Step 3: Cross multiply
    205,526x = 308,289 × 57,782
  4. Step 4: Simplify right side
    205,526x = 17,813,554,998
  5. Step 5: Solve for x
    x = 17,813,554,998/205,526
  6. Step 6: Final answer
    x = 86,673

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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.