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Finding the Fourth Proportional to 165,265.92, 227,761.92 and 138,412.80

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Solution

The fourth proportional to 165,265.92, 227,761.92 and 138,412.80 is: 190,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,265.92 : 227,761.92 = 138,412.80 : x
  2. Step 2: Convert to fraction form
    165,265.92/227,761.92 = 138,412.80/x
  3. Step 3: Cross multiply
    165,265.92x = 227,761.92 × 138,412.80
  4. Step 4: Simplify right side
    165,265.92x = 31,525,165,080.58
  5. Step 5: Solve for x
    x = 31,525,165,080.58/165,265.92
  6. Step 6: Final answer
    x = 190,754.18

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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.