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Finding the Fourth Proportional to 199,769,497.20, 299,674,204.20 and 54,205,369.20

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Solution

The fourth proportional to 199,769,497.20, 299,674,204.20 and 54,205,369.20 is: 81,313,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,769,497.20 : 299,674,204.20 = 54,205,369.20 : x
  2. Step 2: Convert to fraction form
    199,769,497.20/299,674,204.20 = 54,205,369.20/x
  3. Step 3: Cross multiply
    199,769,497.20x = 299,674,204.20 × 54,205,369.20
  4. Step 4: Simplify right side
    199,769,497.20x = 16,243,950,878,377,190
  5. Step 5: Solve for x
    x = 16,243,950,878,377,190/199,769,497.20
  6. Step 6: Final answer
    x = 81,313,469.30

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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.