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Finding the Fourth Proportional to 171,912.84, 257,881.32 and 71,972.16

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Solution

The fourth proportional to 171,912.84, 257,881.32 and 71,972.16 is: 107,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,912.84 : 257,881.32 = 71,972.16 : x
  2. Step 2: Convert to fraction form
    171,912.84/257,881.32 = 71,972.16/x
  3. Step 3: Cross multiply
    171,912.84x = 257,881.32 × 71,972.16
  4. Step 4: Simplify right side
    171,912.84x = 18,560,275,624.05
  5. Step 5: Solve for x
    x = 18,560,275,624.05/171,912.84
  6. Step 6: Final answer
    x = 107,963.29

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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.