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Finding the Fourth Proportional to 171,947.59, 257,972.64 and 82,057.79

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Solution

The fourth proportional to 171,947.59, 257,972.64 and 82,057.79 is: 123,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,947.59 : 257,972.64 = 82,057.79 : x
  2. Step 2: Convert to fraction form
    171,947.59/257,972.64 = 82,057.79/x
  3. Step 3: Cross multiply
    171,947.59x = 257,972.64 × 82,057.79
  4. Step 4: Simplify right side
    171,947.59x = 21,168,664,718.87
  5. Step 5: Solve for x
    x = 21,168,664,718.87/171,947.59
  6. Step 6: Final answer
    x = 123,111.15

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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.