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Finding the Fourth Proportional to 205,502, 308,253 and 57,758

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Solution

The fourth proportional to 205,502, 308,253 and 57,758 is: 86,637

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,502 : 308,253 = 57,758 : x
  2. Step 2: Convert to fraction form
    205,502/308,253 = 57,758/x
  3. Step 3: Cross multiply
    205,502x = 308,253 × 57,758
  4. Step 4: Simplify right side
    205,502x = 17,804,076,774
  5. Step 5: Solve for x
    x = 17,804,076,774/205,502
  6. Step 6: Final answer
    x = 86,637

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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.