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Finding the Fourth Proportional to 139,406.16, 192,381.30 and 75,744.48

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Solution

The fourth proportional to 139,406.16, 192,381.30 and 75,744.48 is: 104,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,406.16 : 192,381.30 = 75,744.48 : x
  2. Step 2: Convert to fraction form
    139,406.16/192,381.30 = 75,744.48/x
  3. Step 3: Cross multiply
    139,406.16x = 192,381.30 × 75,744.48
  4. Step 4: Simplify right side
    139,406.16x = 14,571,821,530.22
  5. Step 5: Solve for x
    x = 14,571,821,530.22/139,406.16
  6. Step 6: Final answer
    x = 104,527.82

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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.