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Finding the Fourth Proportional to 57,027.88, 85,536.06 and 20,089

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Solution

The fourth proportional to 57,027.88, 85,536.06 and 20,089 is: 30,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,027.88 : 85,536.06 = 20,089 : x
  2. Step 2: Convert to fraction form
    57,027.88/85,536.06 = 20,089/x
  3. Step 3: Cross multiply
    57,027.88x = 85,536.06 × 20,089
  4. Step 4: Simplify right side
    57,027.88x = 1,718,333,909.34
  5. Step 5: Solve for x
    x = 1,718,333,909.34/57,027.88
  6. Step 6: Final answer
    x = 30,131.47

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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.