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Finding the Fourth Proportional to 117,086.30, 161,469.44 and 77,725.68

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Solution

The fourth proportional to 117,086.30, 161,469.44 and 77,725.68 is: 107,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,086.30 : 161,469.44 = 77,725.68 : x
  2. Step 2: Convert to fraction form
    117,086.30/161,469.44 = 77,725.68/x
  3. Step 3: Cross multiply
    117,086.30x = 161,469.44 × 77,725.68
  4. Step 4: Simplify right side
    117,086.30x = 12,550,322,023.22
  5. Step 5: Solve for x
    x = 12,550,322,023.22/117,086.30
  6. Step 6: Final answer
    x = 107,188.65

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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.