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Finding the Fourth Proportional to 139,516.62, 209,307.74 and 43,449

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Solution

The fourth proportional to 139,516.62, 209,307.74 and 43,449 is: 65,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,516.62 : 209,307.74 = 43,449 : x
  2. Step 2: Convert to fraction form
    139,516.62/209,307.74 = 43,449/x
  3. Step 3: Cross multiply
    139,516.62x = 209,307.74 × 43,449
  4. Step 4: Simplify right side
    139,516.62x = 9,094,211,778.02
  5. Step 5: Solve for x
    x = 9,094,211,778.02/139,516.62
  6. Step 6: Final answer
    x = 65,183.72

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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.