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Finding the Fourth Proportional to 57,705.72, 86,549.90 and 18,257.70

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Solution

The fourth proportional to 57,705.72, 86,549.90 and 18,257.70 is: 27,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705.72 : 86,549.90 = 18,257.70 : x
  2. Step 2: Convert to fraction form
    57,705.72/86,549.90 = 18,257.70/x
  3. Step 3: Cross multiply
    57,705.72x = 86,549.90 × 18,257.70
  4. Step 4: Simplify right side
    57,705.72x = 1,580,202,342.50
  5. Step 5: Solve for x
    x = 1,580,202,342.50/57,705.72
  6. Step 6: Final answer
    x = 27,383.81

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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.