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Finding the Fourth Proportional to 84,205.80, 126,188.06 and 61,843.56

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Solution

The fourth proportional to 84,205.80, 126,188.06 and 61,843.56 is: 92,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205.80 : 126,188.06 = 61,843.56 : x
  2. Step 2: Convert to fraction form
    84,205.80/126,188.06 = 61,843.56/x
  3. Step 3: Cross multiply
    84,205.80x = 126,188.06 × 61,843.56
  4. Step 4: Simplify right side
    84,205.80x = 7,803,918,859.89
  5. Step 5: Solve for x
    x = 7,803,918,859.89/84,205.80
  6. Step 6: Final answer
    x = 92,676.74

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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.