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Finding the Fourth Proportional to 139,716.86, 192,982.38 and 101,415.20

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Solution

The fourth proportional to 139,716.86, 192,982.38 and 101,415.20 is: 140,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,716.86 : 192,982.38 = 101,415.20 : x
  2. Step 2: Convert to fraction form
    139,716.86/192,982.38 = 101,415.20/x
  3. Step 3: Cross multiply
    139,716.86x = 192,982.38 × 101,415.20
  4. Step 4: Simplify right side
    139,716.86x = 19,571,346,664.18
  5. Step 5: Solve for x
    x = 19,571,346,664.18/139,716.86
  6. Step 6: Final answer
    x = 140,078.63

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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.