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Finding the Fourth Proportional to 171,312, 256,797.36 and 82,540.32

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Solution

The fourth proportional to 171,312, 256,797.36 and 82,540.32 is: 123,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,312 : 256,797.36 = 82,540.32 : x
  2. Step 2: Convert to fraction form
    171,312/256,797.36 = 82,540.32/x
  3. Step 3: Cross multiply
    171,312x = 256,797.36 × 82,540.32
  4. Step 4: Simplify right side
    171,312x = 21,196,136,269.56
  5. Step 5: Solve for x
    x = 21,196,136,269.56/171,312
  6. Step 6: Final answer
    x = 123,728.26

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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.