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Finding the Fourth Proportional to 68,290.37, 102,431.89 and 20,905.48

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Solution

The fourth proportional to 68,290.37, 102,431.89 and 20,905.48 is: 31,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,290.37 : 102,431.89 = 20,905.48 : x
  2. Step 2: Convert to fraction form
    68,290.37/102,431.89 = 20,905.48/x
  3. Step 3: Cross multiply
    68,290.37x = 102,431.89 × 20,905.48
  4. Step 4: Simplify right side
    68,290.37x = 2,141,387,211.07
  5. Step 5: Solve for x
    x = 2,141,387,211.07/68,290.37
  6. Step 6: Final answer
    x = 31,357.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.