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Finding the Fourth Proportional to 71,729, 98,986.02 and 41,921

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Solution

The fourth proportional to 71,729, 98,986.02 and 41,921 is: 57,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,729 : 98,986.02 = 41,921 : x
  2. Step 2: Convert to fraction form
    71,729/98,986.02 = 41,921/x
  3. Step 3: Cross multiply
    71,729x = 98,986.02 × 41,921
  4. Step 4: Simplify right side
    71,729x = 4,149,592,944.42
  5. Step 5: Solve for x
    x = 4,149,592,944.42/71,729
  6. Step 6: Final answer
    x = 57,850.98

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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.