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Finding the Fourth Proportional to 205,512, 308,268 and 57,768

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Solution

The fourth proportional to 205,512, 308,268 and 57,768 is: 86,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,512 : 308,268 = 57,768 : x
  2. Step 2: Convert to fraction form
    205,512/308,268 = 57,768/x
  3. Step 3: Cross multiply
    205,512x = 308,268 × 57,768
  4. Step 4: Simplify right side
    205,512x = 17,808,025,824
  5. Step 5: Solve for x
    x = 17,808,025,824/205,512
  6. Step 6: Final answer
    x = 86,652

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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.