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Finding the Fourth Proportional to 51,399, 77,099.85 and 16,338.65

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Solution

The fourth proportional to 51,399, 77,099.85 and 16,338.65 is: 24,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,399 : 77,099.85 = 16,338.65 : x
  2. Step 2: Convert to fraction form
    51,399/77,099.85 = 16,338.65/x
  3. Step 3: Cross multiply
    51,399x = 77,099.85 × 16,338.65
  4. Step 4: Simplify right side
    51,399x = 1,259,707,078.70
  5. Step 5: Solve for x
    x = 1,259,707,078.70/51,399
  6. Step 6: Final answer
    x = 24,508.40

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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.