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Finding the Fourth Proportional to 166,305.60, 229,672.80 and 128,203.20

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Solution

The fourth proportional to 166,305.60, 229,672.80 and 128,203.20 is: 177,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,305.60 : 229,672.80 = 128,203.20 : x
  2. Step 2: Convert to fraction form
    166,305.60/229,672.80 = 128,203.20/x
  3. Step 3: Cross multiply
    166,305.60x = 229,672.80 × 128,203.20
  4. Step 4: Simplify right side
    166,305.60x = 29,444,787,912.96
  5. Step 5: Solve for x
    x = 29,444,787,912.96/166,305.60
  6. Step 6: Final answer
    x = 177,052.29

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1.5x scale

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.