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Finding the Fourth Proportional to 171,130.92, 256,587 and 82,207.50

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Solution

The fourth proportional to 171,130.92, 256,587 and 82,207.50 is: 123,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,130.92 : 256,587 = 82,207.50 : x
  2. Step 2: Convert to fraction form
    171,130.92/256,587 = 82,207.50/x
  3. Step 3: Cross multiply
    171,130.92x = 256,587 × 82,207.50
  4. Step 4: Simplify right side
    171,130.92x = 21,093,375,802.50
  5. Step 5: Solve for x
    x = 21,093,375,802.50/171,130.92
  6. Step 6: Final answer
    x = 123,258.71

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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.