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Finding the Fourth Proportional to 68,562.65, 102,878.60 and 31,098.85

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Solution

The fourth proportional to 68,562.65, 102,878.60 and 31,098.85 is: 46,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,562.65 : 102,878.60 = 31,098.85 : x
  2. Step 2: Convert to fraction form
    68,562.65/102,878.60 = 31,098.85/x
  3. Step 3: Cross multiply
    68,562.65x = 102,878.60 × 31,098.85
  4. Step 4: Simplify right side
    68,562.65x = 3,199,405,736.92
  5. Step 5: Solve for x
    x = 3,199,405,736.92/68,562.65
  6. Step 6: Final answer
    x = 46,663.97

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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.