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Finding the Fourth Proportional to 215,709.89, 323,563.41 and 65,949.59

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Solution

The fourth proportional to 215,709.89, 323,563.41 and 65,949.59 is: 98,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,709.89 : 323,563.41 = 65,949.59 : x
  2. Step 2: Convert to fraction form
    215,709.89/323,563.41 = 65,949.59/x
  3. Step 3: Cross multiply
    215,709.89x = 323,563.41 × 65,949.59
  4. Step 4: Simplify right side
    215,709.89x = 21,338,875,037.41
  5. Step 5: Solve for x
    x = 21,338,875,037.41/215,709.89
  6. Step 6: Final answer
    x = 98,923.96

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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.