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Finding the Fourth Proportional to 202,015, 278,789.34 and 112,591

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Solution

The fourth proportional to 202,015, 278,789.34 and 112,591 is: 155,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,015 : 278,789.34 = 112,591 : x
  2. Step 2: Convert to fraction form
    202,015/278,789.34 = 112,591/x
  3. Step 3: Cross multiply
    202,015x = 278,789.34 × 112,591
  4. Step 4: Simplify right side
    202,015x = 31,389,170,579.94
  5. Step 5: Solve for x
    x = 31,389,170,579.94/202,015
  6. Step 6: Final answer
    x = 155,380.40

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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.