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Finding the Fourth Proportional to 57,667, 79,580.46 and 31,171

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Solution

The fourth proportional to 57,667, 79,580.46 and 31,171 is: 43,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,667 : 79,580.46 = 31,171 : x
  2. Step 2: Convert to fraction form
    57,667/79,580.46 = 31,171/x
  3. Step 3: Cross multiply
    57,667x = 79,580.46 × 31,171
  4. Step 4: Simplify right side
    57,667x = 2,480,602,518.66
  5. Step 5: Solve for x
    x = 2,480,602,518.66/57,667
  6. Step 6: Final answer
    x = 43,015.98

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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.