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Finding the Fourth Proportional to 57,170.67, 78,922.96 and 40,189.47

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Solution

The fourth proportional to 57,170.67, 78,922.96 and 40,189.47 is: 55,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,170.67 : 78,922.96 = 40,189.47 : x
  2. Step 2: Convert to fraction form
    57,170.67/78,922.96 = 40,189.47/x
  3. Step 3: Cross multiply
    57,170.67x = 78,922.96 × 40,189.47
  4. Step 4: Simplify right side
    57,170.67x = 3,171,871,933.23
  5. Step 5: Solve for x
    x = 3,171,871,933.23/57,170.67
  6. Step 6: Final answer
    x = 55,480.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.