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Finding the Fourth Proportional to 179,709.40, 269,564.10 and 123,722.20

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Solution

The fourth proportional to 179,709.40, 269,564.10 and 123,722.20 is: 185,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,709.40 : 269,564.10 = 123,722.20 : x
  2. Step 2: Convert to fraction form
    179,709.40/269,564.10 = 123,722.20/x
  3. Step 3: Cross multiply
    179,709.40x = 269,564.10 × 123,722.20
  4. Step 4: Simplify right side
    179,709.40x = 33,351,063,493.02
  5. Step 5: Solve for x
    x = 33,351,063,493.02/179,709.40
  6. Step 6: Final answer
    x = 185,583.30

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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.