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Finding the Fourth Proportional to 72,044.57, 108,072.32 and 19,453.29

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Solution

The fourth proportional to 72,044.57, 108,072.32 and 19,453.29 is: 29,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,044.57 : 108,072.32 = 19,453.29 : x
  2. Step 2: Convert to fraction form
    72,044.57/108,072.32 = 19,453.29/x
  3. Step 3: Cross multiply
    72,044.57x = 108,072.32 × 19,453.29
  4. Step 4: Simplify right side
    72,044.57x = 2,102,362,084.67
  5. Step 5: Solve for x
    x = 2,102,362,084.67/72,044.57
  6. Step 6: Final answer
    x = 29,181.41

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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.