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Finding the Fourth Proportional to 80,676.80, 121,019.16 and 21,513

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Solution

The fourth proportional to 80,676.80, 121,019.16 and 21,513 is: 32,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,676.80 : 121,019.16 = 21,513 : x
  2. Step 2: Convert to fraction form
    80,676.80/121,019.16 = 21,513/x
  3. Step 3: Cross multiply
    80,676.80x = 121,019.16 × 21,513
  4. Step 4: Simplify right side
    80,676.80x = 2,603,485,189.08
  5. Step 5: Solve for x
    x = 2,603,485,189.08/80,676.80
  6. Step 6: Final answer
    x = 32,270.56

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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.