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Finding the Fourth Proportional to 68,179.68, 102,234.88 and 31,212

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Solution

The fourth proportional to 68,179.68, 102,234.88 and 31,212 is: 46,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,179.68 : 102,234.88 = 31,212 : x
  2. Step 2: Convert to fraction form
    68,179.68/102,234.88 = 31,212/x
  3. Step 3: Cross multiply
    68,179.68x = 102,234.88 × 31,212
  4. Step 4: Simplify right side
    68,179.68x = 3,190,955,074.56
  5. Step 5: Solve for x
    x = 3,190,955,074.56/68,179.68
  6. Step 6: Final answer
    x = 46,802.14

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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.