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Finding the Fourth Proportional to 139,745.49, 192,852.26 and 76,086.78

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Solution

The fourth proportional to 139,745.49, 192,852.26 and 76,086.78 is: 105,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,745.49 : 192,852.26 = 76,086.78 : x
  2. Step 2: Convert to fraction form
    139,745.49/192,852.26 = 76,086.78/x
  3. Step 3: Cross multiply
    139,745.49x = 192,852.26 × 76,086.78
  4. Step 4: Simplify right side
    139,745.49x = 14,673,507,479.12
  5. Step 5: Solve for x
    x = 14,673,507,479.12/139,745.49
  6. Step 6: Final answer
    x = 105,001.65

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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.