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Finding the Fourth Proportional to 68,384, 94,370.08 and 38,576

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Solution

The fourth proportional to 68,384, 94,370.08 and 38,576 is: 53,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384 : 94,370.08 = 38,576 : x
  2. Step 2: Convert to fraction form
    68,384/94,370.08 = 38,576/x
  3. Step 3: Cross multiply
    68,384x = 94,370.08 × 38,576
  4. Step 4: Simplify right side
    68,384x = 3,640,420,206.08
  5. Step 5: Solve for x
    x = 3,640,420,206.08/68,384
  6. Step 6: Final answer
    x = 53,234.97

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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.