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Finding the Fourth Proportional to 203,209.40, 305,105.70 and 114,635.90

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Solution

The fourth proportional to 203,209.40, 305,105.70 and 114,635.90 is: 172,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,209.40 : 305,105.70 = 114,635.90 : x
  2. Step 2: Convert to fraction form
    203,209.40/305,105.70 = 114,635.90/x
  3. Step 3: Cross multiply
    203,209.40x = 305,105.70 × 114,635.90
  4. Step 4: Simplify right side
    203,209.40x = 34,976,066,514.63
  5. Step 5: Solve for x
    x = 34,976,066,514.63/203,209.40
  6. Step 6: Final answer
    x = 172,118.35

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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.