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Finding the Fourth Proportional to 138,796.83, 191,540.06 and 75,134.47

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Solution

The fourth proportional to 138,796.83, 191,540.06 and 75,134.47 is: 103,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,796.83 : 191,540.06 = 75,134.47 : x
  2. Step 2: Convert to fraction form
    138,796.83/191,540.06 = 75,134.47/x
  3. Step 3: Cross multiply
    138,796.83x = 191,540.06 × 75,134.47
  4. Step 4: Simplify right side
    138,796.83x = 14,391,260,891.87
  5. Step 5: Solve for x
    x = 14,391,260,891.87/138,796.83
  6. Step 6: Final answer
    x = 103,685.80

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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.