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Finding the Fourth Proportional to 199,563,361.60, 299,596,984.80 and 107,520,404.80

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Solution

The fourth proportional to 199,563,361.60, 299,596,984.80 and 107,520,404.80 is: 161,416,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,563,361.60 : 299,596,984.80 = 107,520,404.80 : x
  2. Step 2: Convert to fraction form
    199,563,361.60/299,596,984.80 = 107,520,404.80/x
  3. Step 3: Cross multiply
    199,563,361.60x = 299,596,984.80 × 107,520,404.80
  4. Step 4: Simplify right side
    199,563,361.60x = 32,212,789,082,555,448
  5. Step 5: Solve for x
    x = 32,212,789,082,555,448/199,563,361.60
  6. Step 6: Final answer
    x = 161,416,348.29

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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.