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Finding the Fourth Proportional to 165,010.64, 227,714.84 and 89,559.20

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Solution

The fourth proportional to 165,010.64, 227,714.84 and 89,559.20 is: 123,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,010.64 : 227,714.84 = 89,559.20 : x
  2. Step 2: Convert to fraction form
    165,010.64/227,714.84 = 89,559.20/x
  3. Step 3: Cross multiply
    165,010.64x = 227,714.84 × 89,559.20
  4. Step 4: Simplify right side
    165,010.64x = 20,393,958,898.53
  5. Step 5: Solve for x
    x = 20,393,958,898.53/165,010.64
  6. Step 6: Final answer
    x = 123,591.78

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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.