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Finding the Fourth Proportional to 171,246.16, 256,759.89 and 82,322.74

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Solution

The fourth proportional to 171,246.16, 256,759.89 and 82,322.74 is: 123,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,246.16 : 256,759.89 = 82,322.74 : x
  2. Step 2: Convert to fraction form
    171,246.16/256,759.89 = 82,322.74/x
  3. Step 3: Cross multiply
    171,246.16x = 256,759.89 × 82,322.74
  4. Step 4: Simplify right side
    171,246.16x = 21,137,177,666.90
  5. Step 5: Solve for x
    x = 21,137,177,666.90/171,246.16
  6. Step 6: Final answer
    x = 123,431.54

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1.5x scale

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.