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Finding the Fourth Proportional to 70,234.31, 105,361.94 and 25,857.65

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Solution

The fourth proportional to 70,234.31, 105,361.94 and 25,857.65 is: 38,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,234.31 : 105,361.94 = 25,857.65 : x
  2. Step 2: Convert to fraction form
    70,234.31/105,361.94 = 25,857.65/x
  3. Step 3: Cross multiply
    70,234.31x = 105,361.94 × 25,857.65
  4. Step 4: Simplify right side
    70,234.31x = 2,724,412,495.89
  5. Step 5: Solve for x
    x = 2,724,412,495.89/70,234.31
  6. Step 6: Final answer
    x = 38,790.33

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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.