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Finding the Fourth Proportional to 57,448.64, 86,172.12 and 20,008

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Solution

The fourth proportional to 57,448.64, 86,172.12 and 20,008 is: 30,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,448.64 : 86,172.12 = 20,008 : x
  2. Step 2: Convert to fraction form
    57,448.64/86,172.12 = 20,008/x
  3. Step 3: Cross multiply
    57,448.64x = 86,172.12 × 20,008
  4. Step 4: Simplify right side
    57,448.64x = 1,724,131,776.96
  5. Step 5: Solve for x
    x = 1,724,131,776.96/57,448.64
  6. Step 6: Final answer
    x = 30,011.71

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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.