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Finding the Fourth Proportional to 123,137.36, 169,850.76 and 85,397.84

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Solution

The fourth proportional to 123,137.36, 169,850.76 and 85,397.84 is: 117,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,137.36 : 169,850.76 = 85,397.84 : x
  2. Step 2: Convert to fraction form
    123,137.36/169,850.76 = 85,397.84/x
  3. Step 3: Cross multiply
    123,137.36x = 169,850.76 × 85,397.84
  4. Step 4: Simplify right side
    123,137.36x = 14,504,888,026.36
  5. Step 5: Solve for x
    x = 14,504,888,026.36/123,137.36
  6. Step 6: Final answer
    x = 117,794.37

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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.