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Finding the Fourth Proportional to 78,923, 118,405.02 and 23,519

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Solution

The fourth proportional to 78,923, 118,405.02 and 23,519 is: 35,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,923 : 118,405.02 = 23,519 : x
  2. Step 2: Convert to fraction form
    78,923/118,405.02 = 23,519/x
  3. Step 3: Cross multiply
    78,923x = 118,405.02 × 23,519
  4. Step 4: Simplify right side
    78,923x = 2,784,767,665.38
  5. Step 5: Solve for x
    x = 2,784,767,665.38/78,923
  6. Step 6: Final answer
    x = 35,284.61

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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.