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Finding the Fourth Proportional to 256,735.64, 354,175.88 and 166,120.84

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Solution

The fourth proportional to 256,735.64, 354,175.88 and 166,120.84 is: 229,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,735.64 : 354,175.88 = 166,120.84 : x
  2. Step 2: Convert to fraction form
    256,735.64/354,175.88 = 166,120.84/x
  3. Step 3: Cross multiply
    256,735.64x = 354,175.88 × 166,120.84
  4. Step 4: Simplify right side
    256,735.64x = 58,835,994,305.45
  5. Step 5: Solve for x
    x = 58,835,994,305.45/256,735.64
  6. Step 6: Final answer
    x = 229,169.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.