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Finding the Fourth Proportional to 89,964, 134,946 and 27,634.50

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Solution

The fourth proportional to 89,964, 134,946 and 27,634.50 is: 41,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,964 : 134,946 = 27,634.50 : x
  2. Step 2: Convert to fraction form
    89,964/134,946 = 27,634.50/x
  3. Step 3: Cross multiply
    89,964x = 134,946 × 27,634.50
  4. Step 4: Simplify right side
    89,964x = 3,729,165,237
  5. Step 5: Solve for x
    x = 3,729,165,237/89,964
  6. Step 6: Final answer
    x = 41,451.75

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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.