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Finding the Fourth Proportional to 57,614.51, 86,430.89 and 20,173.68

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Solution

The fourth proportional to 57,614.51, 86,430.89 and 20,173.68 is: 30,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,614.51 : 86,430.89 = 20,173.68 : x
  2. Step 2: Convert to fraction form
    57,614.51/86,430.89 = 20,173.68/x
  3. Step 3: Cross multiply
    57,614.51x = 86,430.89 × 20,173.68
  4. Step 4: Simplify right side
    57,614.51x = 1,743,629,167.41
  5. Step 5: Solve for x
    x = 1,743,629,167.41/57,614.51
  6. Step 6: Final answer
    x = 30,263.71

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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.