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Finding the Fourth Proportional to 68,305, 94,261.64 and 38,497

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Solution

The fourth proportional to 68,305, 94,261.64 and 38,497 is: 53,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,305 : 94,261.64 = 38,497 : x
  2. Step 2: Convert to fraction form
    68,305/94,261.64 = 38,497/x
  3. Step 3: Cross multiply
    68,305x = 94,261.64 × 38,497
  4. Step 4: Simplify right side
    68,305x = 3,628,790,355.08
  5. Step 5: Solve for x
    x = 3,628,790,355.08/68,305
  6. Step 6: Final answer
    x = 53,126.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.