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Finding the Fourth Proportional to 57,874.94, 86,818.77 and 18,422.81

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Solution

The fourth proportional to 57,874.94, 86,818.77 and 18,422.81 is: 27,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.94 : 86,818.77 = 18,422.81 : x
  2. Step 2: Convert to fraction form
    57,874.94/86,818.77 = 18,422.81/x
  3. Step 3: Cross multiply
    57,874.94x = 86,818.77 × 18,422.81
  4. Step 4: Simplify right side
    57,874.94x = 1,599,445,270.05
  5. Step 5: Solve for x
    x = 1,599,445,270.05/57,874.94
  6. Step 6: Final answer
    x = 27,636.23

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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.