Home / 206,826.24-310,222.08-82,133.76

Finding the Fourth Proportional to 206,826.24, 310,222.08 and 82,133.76

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Solution

The fourth proportional to 206,826.24, 310,222.08 and 82,133.76 is: 123,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,826.24 : 310,222.08 = 82,133.76 : x
  2. Step 2: Convert to fraction form
    206,826.24/310,222.08 = 82,133.76/x
  3. Step 3: Cross multiply
    206,826.24x = 310,222.08 × 82,133.76
  4. Step 4: Simplify right side
    206,826.24x = 25,479,705,865.42
  5. Step 5: Solve for x
    x = 25,479,705,865.42/206,826.24
  6. Step 6: Final answer
    x = 123,193.78

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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.