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Finding the Fourth Proportional to 149,756, 206,494.80 and 122,446.88

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Solution

The fourth proportional to 149,756, 206,494.80 and 122,446.88 is: 168,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,756 : 206,494.80 = 122,446.88 : x
  2. Step 2: Convert to fraction form
    149,756/206,494.80 = 122,446.88/x
  3. Step 3: Cross multiply
    149,756x = 206,494.80 × 122,446.88
  4. Step 4: Simplify right side
    149,756x = 25,284,643,996.22
  5. Step 5: Solve for x
    x = 25,284,643,996.22/149,756
  6. Step 6: Final answer
    x = 168,838.94

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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.