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Finding the Fourth Proportional to 139,406.86, 192,377.19 and 75,743.29

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Solution

The fourth proportional to 139,406.86, 192,377.19 and 75,743.29 is: 104,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,406.86 : 192,377.19 = 75,743.29 : x
  2. Step 2: Convert to fraction form
    139,406.86/192,377.19 = 75,743.29/x
  3. Step 3: Cross multiply
    139,406.86x = 192,377.19 × 75,743.29
  4. Step 4: Simplify right side
    139,406.86x = 14,571,281,291.56
  5. Step 5: Solve for x
    x = 14,571,281,291.56/139,406.86
  6. Step 6: Final answer
    x = 104,523.42

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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.