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Finding the Fourth Proportional to 84,212.58, 126,493.80 and 66,804.06

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Solution

The fourth proportional to 84,212.58, 126,493.80 and 66,804.06 is: 100,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212.58 : 126,493.80 = 66,804.06 : x
  2. Step 2: Convert to fraction form
    84,212.58/126,493.80 = 66,804.06/x
  3. Step 3: Cross multiply
    84,212.58x = 126,493.80 × 66,804.06
  4. Step 4: Simplify right side
    84,212.58x = 8,450,299,404.83
  5. Step 5: Solve for x
    x = 8,450,299,404.83/84,212.58
  6. Step 6: Final answer
    x = 100,344.86

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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.