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Finding the Fourth Proportional to 165,012.88, 227,721.90 and 89,561.20

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Solution

The fourth proportional to 165,012.88, 227,721.90 and 89,561.20 is: 123,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012.88 : 227,721.90 = 89,561.20 : x
  2. Step 2: Convert to fraction form
    165,012.88/227,721.90 = 89,561.20/x
  3. Step 3: Cross multiply
    165,012.88x = 227,721.90 × 89,561.20
  4. Step 4: Simplify right side
    165,012.88x = 20,395,046,630.28
  5. Step 5: Solve for x
    x = 20,395,046,630.28/165,012.88
  6. Step 6: Final answer
    x = 123,596.70

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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.