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Finding the Fourth Proportional to 57,105.66, 85,666.68 and 17,665.86

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Solution

The fourth proportional to 57,105.66, 85,666.68 and 17,665.86 is: 26,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105.66 : 85,666.68 = 17,665.86 : x
  2. Step 2: Convert to fraction form
    57,105.66/85,666.68 = 17,665.86/x
  3. Step 3: Cross multiply
    57,105.66x = 85,666.68 × 17,665.86
  4. Step 4: Simplify right side
    57,105.66x = 1,513,375,575.54
  5. Step 5: Solve for x
    x = 1,513,375,575.54/57,105.66
  6. Step 6: Final answer
    x = 26,501.32

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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.