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Finding the Fourth Proportional to 165,744, 228,731.52 and 94,128

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Solution

The fourth proportional to 165,744, 228,731.52 and 94,128 is: 129,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,744 : 228,731.52 = 94,128 : x
  2. Step 2: Convert to fraction form
    165,744/228,731.52 = 94,128/x
  3. Step 3: Cross multiply
    165,744x = 228,731.52 × 94,128
  4. Step 4: Simplify right side
    165,744x = 21,530,040,514.56
  5. Step 5: Solve for x
    x = 21,530,040,514.56/165,744
  6. Step 6: Final answer
    x = 129,899.37

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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.