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Finding the Fourth Proportional to 78,820.31, 118,229.22 and 36,676.82

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Solution

The fourth proportional to 78,820.31, 118,229.22 and 36,676.82 is: 55,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,820.31 : 118,229.22 = 36,676.82 : x
  2. Step 2: Convert to fraction form
    78,820.31/118,229.22 = 36,676.82/x
  3. Step 3: Cross multiply
    78,820.31x = 118,229.22 × 36,676.82
  4. Step 4: Simplify right side
    78,820.31x = 4,336,271,820.68
  5. Step 5: Solve for x
    x = 4,336,271,820.68/78,820.31
  6. Step 6: Final answer
    x = 55,014.65

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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.