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Finding the Fourth Proportional to 188,809.38, 283,214.81 and 76,491.72

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Solution

The fourth proportional to 188,809.38, 283,214.81 and 76,491.72 is: 114,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,809.38 : 283,214.81 = 76,491.72 : x
  2. Step 2: Convert to fraction form
    188,809.38/283,214.81 = 76,491.72/x
  3. Step 3: Cross multiply
    188,809.38x = 283,214.81 × 76,491.72
  4. Step 4: Simplify right side
    188,809.38x = 21,663,588,137.60
  5. Step 5: Solve for x
    x = 21,663,588,137.60/188,809.38
  6. Step 6: Final answer
    x = 114,737.88

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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.