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Finding the Fourth Proportional to 99,489.78, 149,249.25 and 29,359.98

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Solution

The fourth proportional to 99,489.78, 149,249.25 and 29,359.98 is: 44,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,489.78 : 149,249.25 = 29,359.98 : x
  2. Step 2: Convert to fraction form
    99,489.78/149,249.25 = 29,359.98/x
  3. Step 3: Cross multiply
    99,489.78x = 149,249.25 × 29,359.98
  4. Step 4: Simplify right side
    99,489.78x = 4,381,954,995.02
  5. Step 5: Solve for x
    x = 4,381,954,995.02/99,489.78
  6. Step 6: Final answer
    x = 44,044.27

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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.