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Finding the Fourth Proportional to 123,361, 170,238.18 and 66,772.84

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Solution

The fourth proportional to 123,361, 170,238.18 and 66,772.84 is: 92,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,361 : 170,238.18 = 66,772.84 : x
  2. Step 2: Convert to fraction form
    123,361/170,238.18 = 66,772.84/x
  3. Step 3: Cross multiply
    123,361x = 170,238.18 × 66,772.84
  4. Step 4: Simplify right side
    123,361x = 11,367,286,755.03
  5. Step 5: Solve for x
    x = 11,367,286,755.03/123,361
  6. Step 6: Final answer
    x = 92,146.52

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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.