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Finding the Fourth Proportional to 82,536.96, 123,976.08 and 66,759.60

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Solution

The fourth proportional to 82,536.96, 123,976.08 and 66,759.60 is: 100,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,536.96 : 123,976.08 = 66,759.60 : x
  2. Step 2: Convert to fraction form
    82,536.96/123,976.08 = 66,759.60/x
  3. Step 3: Cross multiply
    82,536.96x = 123,976.08 × 66,759.60
  4. Step 4: Simplify right side
    82,536.96x = 8,276,593,510.37
  5. Step 5: Solve for x
    x = 8,276,593,510.37/82,536.96
  6. Step 6: Final answer
    x = 100,277.42

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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.