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Finding the Fourth Proportional to 68,284, 94,257.84 and 45,940.96

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Solution

The fourth proportional to 68,284, 94,257.84 and 45,940.96 is: 63,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284 : 94,257.84 = 45,940.96 : x
  2. Step 2: Convert to fraction form
    68,284/94,257.84 = 45,940.96/x
  3. Step 3: Cross multiply
    68,284x = 94,257.84 × 45,940.96
  4. Step 4: Simplify right side
    68,284x = 4,330,295,657.13
  5. Step 5: Solve for x
    x = 4,330,295,657.13/68,284
  6. Step 6: Final answer
    x = 63,415.96

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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.