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Finding the Fourth Proportional to 203,070.26, 280,227.86 and 112,419.86

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Solution

The fourth proportional to 203,070.26, 280,227.86 and 112,419.86 is: 155,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,070.26 : 280,227.86 = 112,419.86 : x
  2. Step 2: Convert to fraction form
    203,070.26/280,227.86 = 112,419.86/x
  3. Step 3: Cross multiply
    203,070.26x = 280,227.86 × 112,419.86
  4. Step 4: Simplify right side
    203,070.26x = 31,503,176,789.30
  5. Step 5: Solve for x
    x = 31,503,176,789.30/203,070.26
  6. Step 6: Final answer
    x = 155,134.37

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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.