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Finding the Fourth Proportional to 206,064,672.60, 309,097,008.90 and 145,598,496.60

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Solution

The fourth proportional to 206,064,672.60, 309,097,008.90 and 145,598,496.60 is: 218,397,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,064,672.60 : 309,097,008.90 = 145,598,496.60 : x
  2. Step 2: Convert to fraction form
    206,064,672.60/309,097,008.90 = 145,598,496.60/x
  3. Step 3: Cross multiply
    206,064,672.60x = 309,097,008.90 × 145,598,496.60
  4. Step 4: Simplify right side
    206,064,672.60x = 45,004,059,799,396,816
  5. Step 5: Solve for x
    x = 45,004,059,799,396,816/206,064,672.60
  6. Step 6: Final answer
    x = 218,397,744.90

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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.