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Finding the Fourth Proportional to 166,460.50, 229,715.49 and 91,009

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Solution

The fourth proportional to 166,460.50, 229,715.49 and 91,009 is: 125,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,460.50 : 229,715.49 = 91,009 : x
  2. Step 2: Convert to fraction form
    166,460.50/229,715.49 = 91,009/x
  3. Step 3: Cross multiply
    166,460.50x = 229,715.49 × 91,009
  4. Step 4: Simplify right side
    166,460.50x = 20,906,177,029.41
  5. Step 5: Solve for x
    x = 20,906,177,029.41/166,460.50
  6. Step 6: Final answer
    x = 125,592.42

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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.