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Finding the Fourth Proportional to 57,538.80, 86,310.90 and 18,097.20

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Solution

The fourth proportional to 57,538.80, 86,310.90 and 18,097.20 is: 27,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,538.80 : 86,310.90 = 18,097.20 : x
  2. Step 2: Convert to fraction form
    57,538.80/86,310.90 = 18,097.20/x
  3. Step 3: Cross multiply
    57,538.80x = 86,310.90 × 18,097.20
  4. Step 4: Simplify right side
    57,538.80x = 1,561,985,619.48
  5. Step 5: Solve for x
    x = 1,561,985,619.48/57,538.80
  6. Step 6: Final answer
    x = 27,146.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.