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Finding the Fourth Proportional to 89,485, 134,227.50 and 23,821

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Solution

The fourth proportional to 89,485, 134,227.50 and 23,821 is: 35,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,485 : 134,227.50 = 23,821 : x
  2. Step 2: Convert to fraction form
    89,485/134,227.50 = 23,821/x
  3. Step 3: Cross multiply
    89,485x = 134,227.50 × 23,821
  4. Step 4: Simplify right side
    89,485x = 3,197,433,277.50
  5. Step 5: Solve for x
    x = 3,197,433,277.50/89,485
  6. Step 6: Final answer
    x = 35,731.50

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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.