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Finding the Fourth Proportional to 129,871.20, 194,806.80 and 82,869.60

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Solution

The fourth proportional to 129,871.20, 194,806.80 and 82,869.60 is: 124,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,871.20 : 194,806.80 = 82,869.60 : x
  2. Step 2: Convert to fraction form
    129,871.20/194,806.80 = 82,869.60/x
  3. Step 3: Cross multiply
    129,871.20x = 194,806.80 × 82,869.60
  4. Step 4: Simplify right side
    129,871.20x = 16,143,561,593.28
  5. Step 5: Solve for x
    x = 16,143,561,593.28/129,871.20
  6. Step 6: Final answer
    x = 124,304.40

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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.