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Finding the Fourth Proportional to 199,561.88, 299,183.85 and 115,226.40

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Solution

The fourth proportional to 199,561.88, 299,183.85 and 115,226.40 is: 172,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,561.88 : 299,183.85 = 115,226.40 : x
  2. Step 2: Convert to fraction form
    199,561.88/299,183.85 = 115,226.40/x
  3. Step 3: Cross multiply
    199,561.88x = 299,183.85 × 115,226.40
  4. Step 4: Simplify right side
    199,561.88x = 34,473,877,973.64
  5. Step 5: Solve for x
    x = 34,473,877,973.64/199,561.88
  6. Step 6: Final answer
    x = 172,747.81

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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.