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Finding the Fourth Proportional to 203,286, 280,534.68 and 123,798

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Solution

The fourth proportional to 203,286, 280,534.68 and 123,798 is: 170,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,286 : 280,534.68 = 123,798 : x
  2. Step 2: Convert to fraction form
    203,286/280,534.68 = 123,798/x
  3. Step 3: Cross multiply
    203,286x = 280,534.68 × 123,798
  4. Step 4: Simplify right side
    203,286x = 34,729,632,314.64
  5. Step 5: Solve for x
    x = 34,729,632,314.64/203,286
  6. Step 6: Final answer
    x = 170,841.24

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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.