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Finding the Fourth Proportional to 115,910.43, 159,945.63 and 65,609.43

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Solution

The fourth proportional to 115,910.43, 159,945.63 and 65,609.43 is: 90,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,910.43 : 159,945.63 = 65,609.43 : x
  2. Step 2: Convert to fraction form
    115,910.43/159,945.63 = 65,609.43/x
  3. Step 3: Cross multiply
    115,910.43x = 159,945.63 × 65,609.43
  4. Step 4: Simplify right side
    115,910.43x = 10,493,941,615.29
  5. Step 5: Solve for x
    x = 10,493,941,615.29/115,910.43
  6. Step 6: Final answer
    x = 90,534.92

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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.