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Finding the Fourth Proportional to 201,464.80, 302,234.57 and 66,538.21

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Solution

The fourth proportional to 201,464.80, 302,234.57 and 66,538.21 is: 99,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,464.80 : 302,234.57 = 66,538.21 : x
  2. Step 2: Convert to fraction form
    201,464.80/302,234.57 = 66,538.21/x
  3. Step 3: Cross multiply
    201,464.80x = 302,234.57 × 66,538.21
  4. Step 4: Simplify right side
    201,464.80x = 20,110,147,287.92
  5. Step 5: Solve for x
    x = 20,110,147,287.92/201,464.80
  6. Step 6: Final answer
    x = 99,819.66

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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.