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Finding the Fourth Proportional to 165,090.53, 227,825.84 and 89,639.03

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Solution

The fourth proportional to 165,090.53, 227,825.84 and 89,639.03 is: 123,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,090.53 : 227,825.84 = 89,639.03 : x
  2. Step 2: Convert to fraction form
    165,090.53/227,825.84 = 89,639.03/x
  3. Step 3: Cross multiply
    165,090.53x = 227,825.84 × 89,639.03
  4. Step 4: Simplify right side
    165,090.53x = 20,422,088,100.20
  5. Step 5: Solve for x
    x = 20,422,088,100.20/165,090.53
  6. Step 6: Final answer
    x = 123,702.36

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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.