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Finding the Fourth Proportional to 203,538.22, 305,265.78 and 77,134.88

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Solution

The fourth proportional to 203,538.22, 305,265.78 and 77,134.88 is: 115,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,538.22 : 305,265.78 = 77,134.88 : x
  2. Step 2: Convert to fraction form
    203,538.22/305,265.78 = 77,134.88/x
  3. Step 3: Cross multiply
    203,538.22x = 305,265.78 × 77,134.88
  4. Step 4: Simplify right side
    203,538.22x = 23,546,640,071.57
  5. Step 5: Solve for x
    x = 23,546,640,071.57/203,538.22
  6. Step 6: Final answer
    x = 115,686.58

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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.