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Finding the Fourth Proportional to 102,093, 140,888.34 and 57,381

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Solution

The fourth proportional to 102,093, 140,888.34 and 57,381 is: 79,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,093 : 140,888.34 = 57,381 : x
  2. Step 2: Convert to fraction form
    102,093/140,888.34 = 57,381/x
  3. Step 3: Cross multiply
    102,093x = 140,888.34 × 57,381
  4. Step 4: Simplify right side
    102,093x = 8,084,313,837.54
  5. Step 5: Solve for x
    x = 8,084,313,837.54/102,093
  6. Step 6: Final answer
    x = 79,185.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.