Home / 206,840.24-310,243-82,147.76

Finding the Fourth Proportional to 206,840.24, 310,243 and 82,147.76

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Solution

The fourth proportional to 206,840.24, 310,243 and 82,147.76 is: 123,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840.24 : 310,243 = 82,147.76 : x
  2. Step 2: Convert to fraction form
    206,840.24/310,243 = 82,147.76/x
  3. Step 3: Cross multiply
    206,840.24x = 310,243 × 82,147.76
  4. Step 4: Simplify right side
    206,840.24x = 25,485,767,505.68
  5. Step 5: Solve for x
    x = 25,485,767,505.68/206,840.24
  6. Step 6: Final answer
    x = 123,214.75

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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.