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Finding the Fourth Proportional to 139,489.12, 192,480.60 and 82,889.60

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Solution

The fourth proportional to 139,489.12, 192,480.60 and 82,889.60 is: 114,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,489.12 : 192,480.60 = 82,889.60 : x
  2. Step 2: Convert to fraction form
    139,489.12/192,480.60 = 82,889.60/x
  3. Step 3: Cross multiply
    139,489.12x = 192,480.60 × 82,889.60
  4. Step 4: Simplify right side
    139,489.12x = 15,954,639,941.76
  5. Step 5: Solve for x
    x = 15,954,639,941.76/139,489.12
  6. Step 6: Final answer
    x = 114,379.10

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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.