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Finding the Fourth Proportional to 123,129.42, 169,918.56 and 66,540.78

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Solution

The fourth proportional to 123,129.42, 169,918.56 and 66,540.78 is: 91,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,129.42 : 169,918.56 = 66,540.78 : x
  2. Step 2: Convert to fraction form
    123,129.42/169,918.56 = 66,540.78/x
  3. Step 3: Cross multiply
    123,129.42x = 169,918.56 × 66,540.78
  4. Step 4: Simplify right side
    123,129.42x = 11,306,513,518.88
  5. Step 5: Solve for x
    x = 11,306,513,518.88/123,129.42
  6. Step 6: Final answer
    x = 91,826.25

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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.