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Finding the Fourth Proportional to 78,676.66, 108,614 and 53,317

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Solution

The fourth proportional to 78,676.66, 108,614 and 53,317 is: 73,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.66 : 108,614 = 53,317 : x
  2. Step 2: Convert to fraction form
    78,676.66/108,614 = 53,317/x
  3. Step 3: Cross multiply
    78,676.66x = 108,614 × 53,317
  4. Step 4: Simplify right side
    78,676.66x = 5,790,972,638
  5. Step 5: Solve for x
    x = 5,790,972,638/78,676.66
  6. Step 6: Final answer
    x = 73,604.71

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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.