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Finding the Fourth Proportional to 57,580.56, 86,348.04 and 27,989.64

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Solution

The fourth proportional to 57,580.56, 86,348.04 and 27,989.64 is: 41,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,580.56 : 86,348.04 = 27,989.64 : x
  2. Step 2: Convert to fraction form
    57,580.56/86,348.04 = 27,989.64/x
  3. Step 3: Cross multiply
    57,580.56x = 86,348.04 × 27,989.64
  4. Step 4: Simplify right side
    57,580.56x = 2,416,850,554.31
  5. Step 5: Solve for x
    x = 2,416,850,554.31/57,580.56
  6. Step 6: Final answer
    x = 41,973.38

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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.