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Finding the Fourth Proportional to 99,647,563.70, 149,471,345.55 and 27,843,979.70

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Solution

The fourth proportional to 99,647,563.70, 149,471,345.55 and 27,843,979.70 is: 41,765,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,647,563.70 : 149,471,345.55 = 27,843,979.70 : x
  2. Step 2: Convert to fraction form
    99,647,563.70/149,471,345.55 = 27,843,979.70/x
  3. Step 3: Cross multiply
    99,647,563.70x = 149,471,345.55 × 27,843,979.70
  4. Step 4: Simplify right side
    99,647,563.70x = 4,161,877,111,225,885.50
  5. Step 5: Solve for x
    x = 4,161,877,111,225,885.50/99,647,563.70
  6. Step 6: Final answer
    x = 41,765,969.55

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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.