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Finding the Fourth Proportional to 170,230.32, 254,956.32 and 81,546.48

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Solution

The fourth proportional to 170,230.32, 254,956.32 and 81,546.48 is: 122,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,230.32 : 254,956.32 = 81,546.48 : x
  2. Step 2: Convert to fraction form
    170,230.32/254,956.32 = 81,546.48/x
  3. Step 3: Cross multiply
    170,230.32x = 254,956.32 × 81,546.48
  4. Step 4: Simplify right side
    170,230.32x = 20,790,790,449.75
  5. Step 5: Solve for x
    x = 20,790,790,449.75/170,230.32
  6. Step 6: Final answer
    x = 122,133.30

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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.