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Finding the Fourth Proportional to 203,211.72, 280,569.16 and 126,847.14

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Solution

The fourth proportional to 203,211.72, 280,569.16 and 126,847.14 is: 175,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,211.72 : 280,569.16 = 126,847.14 : x
  2. Step 2: Convert to fraction form
    203,211.72/280,569.16 = 126,847.14/x
  3. Step 3: Cross multiply
    203,211.72x = 280,569.16 × 126,847.14
  4. Step 4: Simplify right side
    203,211.72x = 35,589,395,518.20
  5. Step 5: Solve for x
    x = 35,589,395,518.20/203,211.72
  6. Step 6: Final answer
    x = 175,134.56

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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.