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Finding the Fourth Proportional to 123,743.82, 170,757.06 and 72,758.64

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Solution

The fourth proportional to 123,743.82, 170,757.06 and 72,758.64 is: 100,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,743.82 : 170,757.06 = 72,758.64 : x
  2. Step 2: Convert to fraction form
    123,743.82/170,757.06 = 72,758.64/x
  3. Step 3: Cross multiply
    123,743.82x = 170,757.06 × 72,758.64
  4. Step 4: Simplify right side
    123,743.82x = 12,424,051,456.00
  5. Step 5: Solve for x
    x = 12,424,051,456.00/123,743.82
  6. Step 6: Final answer
    x = 100,401.39

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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.