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Finding the Fourth Proportional to 68,264, 94,204.32 and 38,456

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Solution

The fourth proportional to 68,264, 94,204.32 and 38,456 is: 53,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,264 : 94,204.32 = 38,456 : x
  2. Step 2: Convert to fraction form
    68,264/94,204.32 = 38,456/x
  3. Step 3: Cross multiply
    68,264x = 94,204.32 × 38,456
  4. Step 4: Simplify right side
    68,264x = 3,622,721,329.92
  5. Step 5: Solve for x
    x = 3,622,721,329.92/68,264
  6. Step 6: Final answer
    x = 53,069.28

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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.