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Finding the Fourth Proportional to 206,523,793.80, 309,785,690.70 and 70,209,177.30

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Solution

The fourth proportional to 206,523,793.80, 309,785,690.70 and 70,209,177.30 is: 105,313,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,523,793.80 : 309,785,690.70 = 70,209,177.30 : x
  2. Step 2: Convert to fraction form
    206,523,793.80/309,785,690.70 = 70,209,177.30/x
  3. Step 3: Cross multiply
    206,523,793.80x = 309,785,690.70 × 70,209,177.30
  4. Step 4: Simplify right side
    206,523,793.80x = 21,749,798,483,359,260
  5. Step 5: Solve for x
    x = 21,749,798,483,359,260/206,523,793.80
  6. Step 6: Final answer
    x = 105,313,765.95

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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.