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Finding the Fourth Proportional to 206,863.40, 310,448.70 and 82,293.80

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Solution

The fourth proportional to 206,863.40, 310,448.70 and 82,293.80 is: 123,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,863.40 : 310,448.70 = 82,293.80 : x
  2. Step 2: Convert to fraction form
    206,863.40/310,448.70 = 82,293.80/x
  3. Step 3: Cross multiply
    206,863.40x = 310,448.70 × 82,293.80
  4. Step 4: Simplify right side
    206,863.40x = 25,548,003,228.06
  5. Step 5: Solve for x
    x = 25,548,003,228.06/206,863.40
  6. Step 6: Final answer
    x = 123,501.80

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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.