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Finding the Fourth Proportional to 188,812.78, 283,219.90 and 76,495.12

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Solution

The fourth proportional to 188,812.78, 283,219.90 and 76,495.12 is: 114,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,812.78 : 283,219.90 = 76,495.12 : x
  2. Step 2: Convert to fraction form
    188,812.78/283,219.90 = 76,495.12/x
  3. Step 3: Cross multiply
    188,812.78x = 283,219.90 × 76,495.12
  4. Step 4: Simplify right side
    188,812.78x = 21,664,940,236.89
  5. Step 5: Solve for x
    x = 21,664,940,236.89/188,812.78
  6. Step 6: Final answer
    x = 114,742.98

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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.