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Finding the Fourth Proportional to 215,295.96, 322,965.96 and 82,288.17

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Solution

The fourth proportional to 215,295.96, 322,965.96 and 82,288.17 is: 123,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,295.96 : 322,965.96 = 82,288.17 : x
  2. Step 2: Convert to fraction form
    215,295.96/322,965.96 = 82,288.17/x
  3. Step 3: Cross multiply
    215,295.96x = 322,965.96 × 82,288.17
  4. Step 4: Simplify right side
    215,295.96x = 26,576,277,820.69
  5. Step 5: Solve for x
    x = 26,576,277,820.69/215,295.96
  6. Step 6: Final answer
    x = 123,440.67

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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.