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Finding the Fourth Proportional to 89,965.50, 134,948.25 and 27,636

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Solution

The fourth proportional to 89,965.50, 134,948.25 and 27,636 is: 41,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,965.50 : 134,948.25 = 27,636 : x
  2. Step 2: Convert to fraction form
    89,965.50/134,948.25 = 27,636/x
  3. Step 3: Cross multiply
    89,965.50x = 134,948.25 × 27,636
  4. Step 4: Simplify right side
    89,965.50x = 3,729,429,837
  5. Step 5: Solve for x
    x = 3,729,429,837/89,965.50
  6. Step 6: Final answer
    x = 41,454

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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.