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Finding the Fourth Proportional to 203,234.42, 280,463.50 and 111,354.08

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Solution

The fourth proportional to 203,234.42, 280,463.50 and 111,354.08 is: 153,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,234.42 : 280,463.50 = 111,354.08 : x
  2. Step 2: Convert to fraction form
    203,234.42/280,463.50 = 111,354.08/x
  3. Step 3: Cross multiply
    203,234.42x = 280,463.50 × 111,354.08
  4. Step 4: Simplify right side
    203,234.42x = 31,230,755,016.08
  5. Step 5: Solve for x
    x = 31,230,755,016.08/203,234.42
  6. Step 6: Final answer
    x = 153,668.63

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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.