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Finding the Fourth Proportional to 203,109.16, 280,290.18 and 112,469.80

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Solution

The fourth proportional to 203,109.16, 280,290.18 and 112,469.80 is: 155,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,109.16 : 280,290.18 = 112,469.80 : x
  2. Step 2: Convert to fraction form
    203,109.16/280,290.18 = 112,469.80/x
  3. Step 3: Cross multiply
    203,109.16x = 280,290.18 × 112,469.80
  4. Step 4: Simplify right side
    203,109.16x = 31,524,180,486.56
  5. Step 5: Solve for x
    x = 31,524,180,486.56/203,109.16
  6. Step 6: Final answer
    x = 155,208.07

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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.