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Finding the Fourth Proportional to 203,651.10, 305,476.38 and 114,864.30

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Solution

The fourth proportional to 203,651.10, 305,476.38 and 114,864.30 is: 172,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,651.10 : 305,476.38 = 114,864.30 : x
  2. Step 2: Convert to fraction form
    203,651.10/305,476.38 = 114,864.30/x
  3. Step 3: Cross multiply
    203,651.10x = 305,476.38 × 114,864.30
  4. Step 4: Simplify right side
    203,651.10x = 35,088,330,555.23
  5. Step 5: Solve for x
    x = 35,088,330,555.23/203,651.10
  6. Step 6: Final answer
    x = 172,296.30

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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.