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Finding the Fourth Proportional to 139,407.86, 192,378.57 and 75,744.29

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Solution

The fourth proportional to 139,407.86, 192,378.57 and 75,744.29 is: 104,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,407.86 : 192,378.57 = 75,744.29 : x
  2. Step 2: Convert to fraction form
    139,407.86/192,378.57 = 75,744.29/x
  3. Step 3: Cross multiply
    139,407.86x = 192,378.57 × 75,744.29
  4. Step 4: Simplify right side
    139,407.86x = 14,571,578,195.87
  5. Step 5: Solve for x
    x = 14,571,578,195.87/139,407.86
  6. Step 6: Final answer
    x = 104,524.80

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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.