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Finding the Fourth Proportional to 203,333, 280,532.32 and 122,729.92

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Solution

The fourth proportional to 203,333, 280,532.32 and 122,729.92 is: 169,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,333 : 280,532.32 = 122,729.92 : x
  2. Step 2: Convert to fraction form
    203,333/280,532.32 = 122,729.92/x
  3. Step 3: Cross multiply
    203,333x = 280,532.32 × 122,729.92
  4. Step 4: Simplify right side
    203,333x = 34,429,709,191.01
  5. Step 5: Solve for x
    x = 34,429,709,191.01/203,333
  6. Step 6: Final answer
    x = 169,326.72

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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.