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Finding the Fourth Proportional to 203,013, 280,150.92 and 112,372.92

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Solution

The fourth proportional to 203,013, 280,150.92 and 112,372.92 is: 155,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,013 : 280,150.92 = 112,372.92 : x
  2. Step 2: Convert to fraction form
    203,013/280,150.92 = 112,372.92/x
  3. Step 3: Cross multiply
    203,013x = 280,150.92 × 112,372.92
  4. Step 4: Simplify right side
    203,013x = 31,481,376,921.09
  5. Step 5: Solve for x
    x = 31,481,376,921.09/203,013
  6. Step 6: Final answer
    x = 155,070.74

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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.