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Finding the Fourth Proportional to 123,120, 169,906.01 and 66,531.78

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Solution

The fourth proportional to 123,120, 169,906.01 and 66,531.78 is: 91,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,120 : 169,906.01 = 66,531.78 : x
  2. Step 2: Convert to fraction form
    123,120/169,906.01 = 66,531.78/x
  3. Step 3: Cross multiply
    123,120x = 169,906.01 × 66,531.78
  4. Step 4: Simplify right side
    123,120x = 11,304,148,945.34
  5. Step 5: Solve for x
    x = 11,304,148,945.34/123,120
  6. Step 6: Final answer
    x = 91,814.08

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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.