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Finding the Fourth Proportional to 206,871.40, 310,460.70 and 82,301.80

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Solution

The fourth proportional to 206,871.40, 310,460.70 and 82,301.80 is: 123,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871.40 : 310,460.70 = 82,301.80 : x
  2. Step 2: Convert to fraction form
    206,871.40/310,460.70 = 82,301.80/x
  3. Step 3: Cross multiply
    206,871.40x = 310,460.70 × 82,301.80
  4. Step 4: Simplify right side
    206,871.40x = 25,551,474,439.26
  5. Step 5: Solve for x
    x = 25,551,474,439.26/206,871.40
  6. Step 6: Final answer
    x = 123,513.81

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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.