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Finding the Fourth Proportional to 201,753.71, 302,236.85 and 157,171.71

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Solution

The fourth proportional to 201,753.71, 302,236.85 and 157,171.71 is: 235,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,753.71 : 302,236.85 = 157,171.71 : x
  2. Step 2: Convert to fraction form
    201,753.71/302,236.85 = 157,171.71/x
  3. Step 3: Cross multiply
    201,753.71x = 302,236.85 × 157,171.71
  4. Step 4: Simplify right side
    201,753.71x = 47,503,082,932.44
  5. Step 5: Solve for x
    x = 47,503,082,932.44/201,753.71
  6. Step 6: Final answer
    x = 235,450.86

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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.