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Finding the Fourth Proportional to 178,940.57, 268,410.89 and 84,101.11

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Solution

The fourth proportional to 178,940.57, 268,410.89 and 84,101.11 is: 126,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,940.57 : 268,410.89 = 84,101.11 : x
  2. Step 2: Convert to fraction form
    178,940.57/268,410.89 = 84,101.11/x
  3. Step 3: Cross multiply
    178,940.57x = 268,410.89 × 84,101.11
  4. Step 4: Simplify right side
    178,940.57x = 22,573,653,324.31
  5. Step 5: Solve for x
    x = 22,573,653,324.31/178,940.57
  6. Step 6: Final answer
    x = 126,151.68

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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.