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Finding the Fourth Proportional to 139,491.85, 192,496.47 and 75,831.25

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Solution

The fourth proportional to 139,491.85, 192,496.47 and 75,831.25 is: 104,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,491.85 : 192,496.47 = 75,831.25 : x
  2. Step 2: Convert to fraction form
    139,491.85/192,496.47 = 75,831.25/x
  3. Step 3: Cross multiply
    139,491.85x = 192,496.47 × 75,831.25
  4. Step 4: Simplify right side
    139,491.85x = 14,597,247,940.69
  5. Step 5: Solve for x
    x = 14,597,247,940.69/139,491.85
  6. Step 6: Final answer
    x = 104,645.88

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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.