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Finding the Fourth Proportional to 203,400.51, 280,702.22 and 126,964.86

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Solution

The fourth proportional to 203,400.51, 280,702.22 and 126,964.86 is: 175,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400.51 : 280,702.22 = 126,964.86 : x
  2. Step 2: Convert to fraction form
    203,400.51/280,702.22 = 126,964.86/x
  3. Step 3: Cross multiply
    203,400.51x = 280,702.22 × 126,964.86
  4. Step 4: Simplify right side
    203,400.51x = 35,639,318,063.99
  5. Step 5: Solve for x
    x = 35,639,318,063.99/203,400.51
  6. Step 6: Final answer
    x = 175,217.45

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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.