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Finding the Fourth Proportional to 103,072.78, 154,631.24 and 31,993.86

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Solution

The fourth proportional to 103,072.78, 154,631.24 and 31,993.86 is: 47,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,072.78 : 154,631.24 = 31,993.86 : x
  2. Step 2: Convert to fraction form
    103,072.78/154,631.24 = 31,993.86/x
  3. Step 3: Cross multiply
    103,072.78x = 154,631.24 × 31,993.86
  4. Step 4: Simplify right side
    103,072.78x = 4,947,250,244.19
  5. Step 5: Solve for x
    x = 4,947,250,244.19/103,072.78
  6. Step 6: Final answer
    x = 47,997.64

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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.