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Finding the Fourth Proportional to 68,662.92, 102,968.46 and 31,701

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Solution

The fourth proportional to 68,662.92, 102,968.46 and 31,701 is: 47,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,662.92 : 102,968.46 = 31,701 : x
  2. Step 2: Convert to fraction form
    68,662.92/102,968.46 = 31,701/x
  3. Step 3: Cross multiply
    68,662.92x = 102,968.46 × 31,701
  4. Step 4: Simplify right side
    68,662.92x = 3,264,203,150.46
  5. Step 5: Solve for x
    x = 3,264,203,150.46/68,662.92
  6. Step 6: Final answer
    x = 47,539.53

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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.