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Finding the Fourth Proportional to 139,659.81, 192,729.31 and 75,997.65

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Solution

The fourth proportional to 139,659.81, 192,729.31 and 75,997.65 is: 104,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,659.81 : 192,729.31 = 75,997.65 : x
  2. Step 2: Convert to fraction form
    139,659.81/192,729.31 = 75,997.65/x
  3. Step 3: Cross multiply
    139,659.81x = 192,729.31 × 75,997.65
  4. Step 4: Simplify right side
    139,659.81x = 14,646,975,178.86
  5. Step 5: Solve for x
    x = 14,646,975,178.86/139,659.81
  6. Step 6: Final answer
    x = 104,876.10

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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.