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Finding the Fourth Proportional to 68,102.82, 93,980.61 and 37,888.05

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Solution

The fourth proportional to 68,102.82, 93,980.61 and 37,888.05 is: 52,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102.82 : 93,980.61 = 37,888.05 : x
  2. Step 2: Convert to fraction form
    68,102.82/93,980.61 = 37,888.05/x
  3. Step 3: Cross multiply
    68,102.82x = 93,980.61 × 37,888.05
  4. Step 4: Simplify right side
    68,102.82x = 3,560,741,791.15
  5. Step 5: Solve for x
    x = 3,560,741,791.15/68,102.82
  6. Step 6: Final answer
    x = 52,284.79

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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.