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Finding the Fourth Proportional to 171,314.28, 256,823.64 and 82,445.52

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Solution

The fourth proportional to 171,314.28, 256,823.64 and 82,445.52 is: 123,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,314.28 : 256,823.64 = 82,445.52 : x
  2. Step 2: Convert to fraction form
    171,314.28/256,823.64 = 82,445.52/x
  3. Step 3: Cross multiply
    171,314.28x = 256,823.64 × 82,445.52
  4. Step 4: Simplify right side
    171,314.28x = 21,173,958,548.09
  5. Step 5: Solve for x
    x = 21,173,958,548.09/171,314.28
  6. Step 6: Final answer
    x = 123,597.16

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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.