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Finding the Fourth Proportional to 168,497,211.40, 252,745,817.10 and 82,290,920.20

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Solution

The fourth proportional to 168,497,211.40, 252,745,817.10 and 82,290,920.20 is: 123,436,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,497,211.40 : 252,745,817.10 = 82,290,920.20 : x
  2. Step 2: Convert to fraction form
    168,497,211.40/252,745,817.10 = 82,290,920.20/x
  3. Step 3: Cross multiply
    168,497,211.40x = 252,745,817.10 × 82,290,920.20
  4. Step 4: Simplify right side
    168,497,211.40x = 20,798,685,865,859,896
  5. Step 5: Solve for x
    x = 20,798,685,865,859,896/168,497,211.40
  6. Step 6: Final answer
    x = 123,436,380.30

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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.