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Finding the Fourth Proportional to 57,200.56, 85,777.08 and 22,120

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Solution

The fourth proportional to 57,200.56, 85,777.08 and 22,120 is: 33,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.56 : 85,777.08 = 22,120 : x
  2. Step 2: Convert to fraction form
    57,200.56/85,777.08 = 22,120/x
  3. Step 3: Cross multiply
    57,200.56x = 85,777.08 × 22,120
  4. Step 4: Simplify right side
    57,200.56x = 1,897,389,009.60
  5. Step 5: Solve for x
    x = 1,897,389,009.60/57,200.56
  6. Step 6: Final answer
    x = 33,170.81

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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.