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Finding the Fourth Proportional to 203,109.04, 304,736.46 and 90,779.86

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Solution

The fourth proportional to 203,109.04, 304,736.46 and 90,779.86 is: 136,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,109.04 : 304,736.46 = 90,779.86 : x
  2. Step 2: Convert to fraction form
    203,109.04/304,736.46 = 90,779.86/x
  3. Step 3: Cross multiply
    203,109.04x = 304,736.46 × 90,779.86
  4. Step 4: Simplify right side
    203,109.04x = 27,663,933,175.70
  5. Step 5: Solve for x
    x = 27,663,933,175.70/203,109.04
  6. Step 6: Final answer
    x = 136,202.37

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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.