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Finding the Fourth Proportional to 171,135.16, 256,459.36 and 81,081.88

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Solution

The fourth proportional to 171,135.16, 256,459.36 and 81,081.88 is: 121,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,135.16 : 256,459.36 = 81,081.88 : x
  2. Step 2: Convert to fraction form
    171,135.16/256,459.36 = 81,081.88/x
  3. Step 3: Cross multiply
    171,135.16x = 256,459.36 × 81,081.88
  4. Step 4: Simplify right side
    171,135.16x = 20,794,207,052.40
  5. Step 5: Solve for x
    x = 20,794,207,052.40/171,135.16
  6. Step 6: Final answer
    x = 121,507.51

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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.