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Finding the Fourth Proportional to 91,837, 137,778.62 and 26,173

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Solution

The fourth proportional to 91,837, 137,778.62 and 26,173 is: 39,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,837 : 137,778.62 = 26,173 : x
  2. Step 2: Convert to fraction form
    91,837/137,778.62 = 26,173/x
  3. Step 3: Cross multiply
    91,837x = 137,778.62 × 26,173
  4. Step 4: Simplify right side
    91,837x = 3,606,079,821.26
  5. Step 5: Solve for x
    x = 3,606,079,821.26/91,837
  6. Step 6: Final answer
    x = 39,266.09

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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.