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Finding the Fourth Proportional to 139,844.95, 192,999.97 and 85,394.12

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Solution

The fourth proportional to 139,844.95, 192,999.97 and 85,394.12 is: 117,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,844.95 : 192,999.97 = 85,394.12 : x
  2. Step 2: Convert to fraction form
    139,844.95/192,999.97 = 85,394.12/x
  3. Step 3: Cross multiply
    139,844.95x = 192,999.97 × 85,394.12
  4. Step 4: Simplify right side
    139,844.95x = 16,481,061,259.58
  5. Step 5: Solve for x
    x = 16,481,061,259.58/139,844.95
  6. Step 6: Final answer
    x = 117,852.39

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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.