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Finding the Fourth Proportional to 103,974.81, 143,524.11 and 80,959.11

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Solution

The fourth proportional to 103,974.81, 143,524.11 and 80,959.11 is: 111,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,974.81 : 143,524.11 = 80,959.11 : x
  2. Step 2: Convert to fraction form
    103,974.81/143,524.11 = 80,959.11/x
  3. Step 3: Cross multiply
    103,974.81x = 143,524.11 × 80,959.11
  4. Step 4: Simplify right side
    103,974.81x = 11,619,584,209.14
  5. Step 5: Solve for x
    x = 11,619,584,209.14/103,974.81
  6. Step 6: Final answer
    x = 111,753.84

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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.