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Finding the Fourth Proportional to 205,508, 308,262 and 57,764

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Solution

The fourth proportional to 205,508, 308,262 and 57,764 is: 86,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,508 : 308,262 = 57,764 : x
  2. Step 2: Convert to fraction form
    205,508/308,262 = 57,764/x
  3. Step 3: Cross multiply
    205,508x = 308,262 × 57,764
  4. Step 4: Simplify right side
    205,508x = 17,806,446,168
  5. Step 5: Solve for x
    x = 17,806,446,168/205,508
  6. Step 6: Final answer
    x = 86,646

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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.