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Finding the Fourth Proportional to 167,120, 230,625.60 and 91,668.68

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Solution

The fourth proportional to 167,120, 230,625.60 and 91,668.68 is: 126,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,120 : 230,625.60 = 91,668.68 : x
  2. Step 2: Convert to fraction form
    167,120/230,625.60 = 91,668.68/x
  3. Step 3: Cross multiply
    167,120x = 230,625.60 × 91,668.68
  4. Step 4: Simplify right side
    167,120x = 21,141,144,326.21
  5. Step 5: Solve for x
    x = 21,141,144,326.21/167,120
  6. Step 6: Final answer
    x = 126,502.78

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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.