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Finding the Fourth Proportional to 68,168.52, 102,252.78 and 31,232.52

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Solution

The fourth proportional to 68,168.52, 102,252.78 and 31,232.52 is: 46,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,168.52 : 102,252.78 = 31,232.52 : x
  2. Step 2: Convert to fraction form
    68,168.52/102,252.78 = 31,232.52/x
  3. Step 3: Cross multiply
    68,168.52x = 102,252.78 × 31,232.52
  4. Step 4: Simplify right side
    68,168.52x = 3,193,611,996.41
  5. Step 5: Solve for x
    x = 3,193,611,996.41/68,168.52
  6. Step 6: Final answer
    x = 46,848.78

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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.