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Finding the Fourth Proportional to 43,841, 65,771.24 and 20,454.68

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Solution

The fourth proportional to 43,841, 65,771.24 and 20,454.68 is: 30,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,841 : 65,771.24 = 20,454.68 : x
  2. Step 2: Convert to fraction form
    43,841/65,771.24 = 20,454.68/x
  3. Step 3: Cross multiply
    43,841x = 65,771.24 × 20,454.68
  4. Step 4: Simplify right side
    43,841x = 1,345,329,667.40
  5. Step 5: Solve for x
    x = 1,345,329,667.40/43,841
  6. Step 6: Final answer
    x = 30,686.56

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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.