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Finding the Fourth Proportional to 91,693.08, 137,266.92 and 82,071.09

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Solution

The fourth proportional to 91,693.08, 137,266.92 and 82,071.09 is: 122,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,693.08 : 137,266.92 = 82,071.09 : x
  2. Step 2: Convert to fraction form
    91,693.08/137,266.92 = 82,071.09/x
  3. Step 3: Cross multiply
    91,693.08x = 137,266.92 × 82,071.09
  4. Step 4: Simplify right side
    91,693.08x = 11,265,645,745.34
  5. Step 5: Solve for x
    x = 11,265,645,745.34/91,693.08
  6. Step 6: Final answer
    x = 122,862.55

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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.