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Finding the Fourth Proportional to 188,038.14, 281,986.20 and 75,680.07

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Solution

The fourth proportional to 188,038.14, 281,986.20 and 75,680.07 is: 113,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,038.14 : 281,986.20 = 75,680.07 : x
  2. Step 2: Convert to fraction form
    188,038.14/281,986.20 = 75,680.07/x
  3. Step 3: Cross multiply
    188,038.14x = 281,986.20 × 75,680.07
  4. Step 4: Simplify right side
    188,038.14x = 21,340,735,355.03
  5. Step 5: Solve for x
    x = 21,340,735,355.03/188,038.14
  6. Step 6: Final answer
    x = 113,491.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.