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Finding the Fourth Proportional to 215,295.46, 322,965.21 and 82,287.67

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Solution

The fourth proportional to 215,295.46, 322,965.21 and 82,287.67 is: 123,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,295.46 : 322,965.21 = 82,287.67 : x
  2. Step 2: Convert to fraction form
    215,295.46/322,965.21 = 82,287.67/x
  3. Step 3: Cross multiply
    215,295.46x = 322,965.21 × 82,287.67
  4. Step 4: Simplify right side
    215,295.46x = 26,576,054,621.96
  5. Step 5: Solve for x
    x = 26,576,054,621.96/215,295.46
  6. Step 6: Final answer
    x = 123,439.92

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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.