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Finding the Fourth Proportional to 139,405.83, 192,381.80 and 75,744.69

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Solution

The fourth proportional to 139,405.83, 192,381.80 and 75,744.69 is: 104,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,405.83 : 192,381.80 = 75,744.69 : x
  2. Step 2: Convert to fraction form
    139,405.83/192,381.80 = 75,744.69/x
  3. Step 3: Cross multiply
    139,405.83x = 192,381.80 × 75,744.69
  4. Step 4: Simplify right side
    139,405.83x = 14,571,899,423.92
  5. Step 5: Solve for x
    x = 14,571,899,423.92/139,405.83
  6. Step 6: Final answer
    x = 104,528.62

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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.