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Finding the Fourth Proportional to 57,645.68, 86,471.15 and 17,661.78

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Solution

The fourth proportional to 57,645.68, 86,471.15 and 17,661.78 is: 26,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.68 : 86,471.15 = 17,661.78 : x
  2. Step 2: Convert to fraction form
    57,645.68/86,471.15 = 17,661.78/x
  3. Step 3: Cross multiply
    57,645.68x = 86,471.15 × 17,661.78
  4. Step 4: Simplify right side
    57,645.68x = 1,527,234,339.34
  5. Step 5: Solve for x
    x = 1,527,234,339.34/57,645.68
  6. Step 6: Final answer
    x = 26,493.48

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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.