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Finding the Fourth Proportional to 144,993.81, 200,086.22 and 80,465.87

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Solution

The fourth proportional to 144,993.81, 200,086.22 and 80,465.87 is: 111,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,993.81 : 200,086.22 = 80,465.87 : x
  2. Step 2: Convert to fraction form
    144,993.81/200,086.22 = 80,465.87/x
  3. Step 3: Cross multiply
    144,993.81x = 200,086.22 × 80,465.87
  4. Step 4: Simplify right side
    144,993.81x = 16,100,110,364.55
  5. Step 5: Solve for x
    x = 16,100,110,364.55/144,993.81
  6. Step 6: Final answer
    x = 111,039.98

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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.