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Finding the Fourth Proportional to 123,791.31, 185,755.93 and 66,864.06

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Solution

The fourth proportional to 123,791.31, 185,755.93 and 66,864.06 is: 100,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,791.31 : 185,755.93 = 66,864.06 : x
  2. Step 2: Convert to fraction form
    123,791.31/185,755.93 = 66,864.06/x
  3. Step 3: Cross multiply
    123,791.31x = 185,755.93 × 66,864.06
  4. Step 4: Simplify right side
    123,791.31x = 12,420,395,335.39
  5. Step 5: Solve for x
    x = 12,420,395,335.39/123,791.31
  6. Step 6: Final answer
    x = 100,333.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.