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Finding the Fourth Proportional to 139,232.64, 192,190.92 and 82,644

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Solution

The fourth proportional to 139,232.64, 192,190.92 and 82,644 is: 114,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,232.64 : 192,190.92 = 82,644 : x
  2. Step 2: Convert to fraction form
    139,232.64/192,190.92 = 82,644/x
  3. Step 3: Cross multiply
    139,232.64x = 192,190.92 × 82,644
  4. Step 4: Simplify right side
    139,232.64x = 15,883,426,392.48
  5. Step 5: Solve for x
    x = 15,883,426,392.48/139,232.64
  6. Step 6: Final answer
    x = 114,078.33

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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.