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Finding the Fourth Proportional to 57,071.25, 85,607.15 and 20,135.25

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Solution

The fourth proportional to 57,071.25, 85,607.15 and 20,135.25 is: 30,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,071.25 : 85,607.15 = 20,135.25 : x
  2. Step 2: Convert to fraction form
    57,071.25/85,607.15 = 20,135.25/x
  3. Step 3: Cross multiply
    57,071.25x = 85,607.15 × 20,135.25
  4. Step 4: Simplify right side
    57,071.25x = 1,723,721,266.36
  5. Step 5: Solve for x
    x = 1,723,721,266.36/57,071.25
  6. Step 6: Final answer
    x = 30,202.97

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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.