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Finding the Fourth Proportional to 203,622.80, 280,986.09 and 112,978.52

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Solution

The fourth proportional to 203,622.80, 280,986.09 and 112,978.52 is: 155,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,622.80 : 280,986.09 = 112,978.52 : x
  2. Step 2: Convert to fraction form
    203,622.80/280,986.09 = 112,978.52/x
  3. Step 3: Cross multiply
    203,622.80x = 280,986.09 × 112,978.52
  4. Step 4: Simplify right side
    203,622.80x = 31,745,392,588.79
  5. Step 5: Solve for x
    x = 31,745,392,588.79/203,622.80
  6. Step 6: Final answer
    x = 155,902.94

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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.