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Finding the Fourth Proportional to 269,112, 371,374.56 and 149,880

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Solution

The fourth proportional to 269,112, 371,374.56 and 149,880 is: 206,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,112 : 371,374.56 = 149,880 : x
  2. Step 2: Convert to fraction form
    269,112/371,374.56 = 149,880/x
  3. Step 3: Cross multiply
    269,112x = 371,374.56 × 149,880
  4. Step 4: Simplify right side
    269,112x = 55,661,619,052.80
  5. Step 5: Solve for x
    x = 55,661,619,052.80/269,112
  6. Step 6: Final answer
    x = 206,834.40

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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.