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Finding the Fourth Proportional to 57,852.78, 86,786.01 and 20,405.04

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Solution

The fourth proportional to 57,852.78, 86,786.01 and 20,405.04 is: 30,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852.78 : 86,786.01 = 20,405.04 : x
  2. Step 2: Convert to fraction form
    57,852.78/86,786.01 = 20,405.04/x
  3. Step 3: Cross multiply
    57,852.78x = 86,786.01 × 20,405.04
  4. Step 4: Simplify right side
    57,852.78x = 1,770,872,005.49
  5. Step 5: Solve for x
    x = 1,770,872,005.49/57,852.78
  6. Step 6: Final answer
    x = 30,609.97

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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.