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Finding the Fourth Proportional to 57,102.67, 85,662.15 and 17,662.78

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Solution

The fourth proportional to 57,102.67, 85,662.15 and 17,662.78 is: 26,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.67 : 85,662.15 = 17,662.78 : x
  2. Step 2: Convert to fraction form
    57,102.67/85,662.15 = 17,662.78/x
  3. Step 3: Cross multiply
    57,102.67x = 85,662.15 × 17,662.78
  4. Step 4: Simplify right side
    57,102.67x = 1,513,031,709.78
  5. Step 5: Solve for x
    x = 1,513,031,709.78/57,102.67
  6. Step 6: Final answer
    x = 26,496.69

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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.