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Finding the Fourth Proportional to 138,073.89, 190,540.77 and 77,643.25

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Solution

The fourth proportional to 138,073.89, 190,540.77 and 77,643.25 is: 107,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,073.89 : 190,540.77 = 77,643.25 : x
  2. Step 2: Convert to fraction form
    138,073.89/190,540.77 = 77,643.25/x
  3. Step 3: Cross multiply
    138,073.89x = 190,540.77 × 77,643.25
  4. Step 4: Simplify right side
    138,073.89x = 14,794,204,640.30
  5. Step 5: Solve for x
    x = 14,794,204,640.30/138,073.89
  6. Step 6: Final answer
    x = 107,147.01

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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.