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Finding the Fourth Proportional to 65,667, 98,500.50 and 16,419

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Solution

The fourth proportional to 65,667, 98,500.50 and 16,419 is: 24,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,667 : 98,500.50 = 16,419 : x
  2. Step 2: Convert to fraction form
    65,667/98,500.50 = 16,419/x
  3. Step 3: Cross multiply
    65,667x = 98,500.50 × 16,419
  4. Step 4: Simplify right side
    65,667x = 1,617,279,709.50
  5. Step 5: Solve for x
    x = 1,617,279,709.50/65,667
  6. Step 6: Final answer
    x = 24,628.50

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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.