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Finding the Fourth Proportional to 203,471.16, 280,793.57 and 112,830.94

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Solution

The fourth proportional to 203,471.16, 280,793.57 and 112,830.94 is: 155,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,471.16 : 280,793.57 = 112,830.94 : x
  2. Step 2: Convert to fraction form
    203,471.16/280,793.57 = 112,830.94/x
  3. Step 3: Cross multiply
    203,471.16x = 280,793.57 × 112,830.94
  4. Step 4: Simplify right side
    203,471.16x = 31,682,202,449.06
  5. Step 5: Solve for x
    x = 31,682,202,449.06/203,471.16
  6. Step 6: Final answer
    x = 155,708.57

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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.