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Finding the Fourth Proportional to 207,231.40, 310,975.10 and 82,559.40

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Solution

The fourth proportional to 207,231.40, 310,975.10 and 82,559.40 is: 123,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,231.40 : 310,975.10 = 82,559.40 : x
  2. Step 2: Convert to fraction form
    207,231.40/310,975.10 = 82,559.40/x
  3. Step 3: Cross multiply
    207,231.40x = 310,975.10 × 82,559.40
  4. Step 4: Simplify right side
    207,231.40x = 25,673,917,670.94
  5. Step 5: Solve for x
    x = 25,673,917,670.94/207,231.40
  6. Step 6: Final answer
    x = 123,890.09

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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.