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Finding the Fourth Proportional to 204,170.40, 305,672.40 and 157,125.60

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Solution

The fourth proportional to 204,170.40, 305,672.40 and 157,125.60 is: 235,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,170.40 : 305,672.40 = 157,125.60 : x
  2. Step 2: Convert to fraction form
    204,170.40/305,672.40 = 157,125.60/x
  3. Step 3: Cross multiply
    204,170.40x = 305,672.40 × 157,125.60
  4. Step 4: Simplify right side
    204,170.40x = 48,028,959,253.44
  5. Step 5: Solve for x
    x = 48,028,959,253.44/204,170.40
  6. Step 6: Final answer
    x = 235,239.58

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1.5x scale

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.