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Finding the Fourth Proportional to 199,321.88, 298,983.89 and 51,577.88

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Solution

The fourth proportional to 199,321.88, 298,983.89 and 51,577.88 is: 77,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,321.88 : 298,983.89 = 51,577.88 : x
  2. Step 2: Convert to fraction form
    199,321.88/298,983.89 = 51,577.88/x
  3. Step 3: Cross multiply
    199,321.88x = 298,983.89 × 51,577.88
  4. Step 4: Simplify right side
    199,321.88x = 15,420,953,834.38
  5. Step 5: Solve for x
    x = 15,420,953,834.38/199,321.88
  6. Step 6: Final answer
    x = 77,367.09

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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.