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Finding the Fourth Proportional to 68,160.68, 102,206.44 and 31,193

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Solution

The fourth proportional to 68,160.68, 102,206.44 and 31,193 is: 46,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,160.68 : 102,206.44 = 31,193 : x
  2. Step 2: Convert to fraction form
    68,160.68/102,206.44 = 31,193/x
  3. Step 3: Cross multiply
    68,160.68x = 102,206.44 × 31,193
  4. Step 4: Simplify right side
    68,160.68x = 3,188,125,482.92
  5. Step 5: Solve for x
    x = 3,188,125,482.92/68,160.68
  6. Step 6: Final answer
    x = 46,773.67

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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.