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Finding the Fourth Proportional to 57,070.72, 78,738.42 and 33,177.88

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Solution

The fourth proportional to 57,070.72, 78,738.42 and 33,177.88 is: 45,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,070.72 : 78,738.42 = 33,177.88 : x
  2. Step 2: Convert to fraction form
    57,070.72/78,738.42 = 33,177.88/x
  3. Step 3: Cross multiply
    57,070.72x = 78,738.42 × 33,177.88
  4. Step 4: Simplify right side
    57,070.72x = 2,612,373,850.15
  5. Step 5: Solve for x
    x = 2,612,373,850.15/57,070.72
  6. Step 6: Final answer
    x = 45,774.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.