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Finding the Fourth Proportional to 57,138.48, 78,852.42 and 33,269.40

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Solution

The fourth proportional to 57,138.48, 78,852.42 and 33,269.40 is: 45,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138.48 : 78,852.42 = 33,269.40 : x
  2. Step 2: Convert to fraction form
    57,138.48/78,852.42 = 33,269.40/x
  3. Step 3: Cross multiply
    57,138.48x = 78,852.42 × 33,269.40
  4. Step 4: Simplify right side
    57,138.48x = 2,623,372,701.95
  5. Step 5: Solve for x
    x = 2,623,372,701.95/57,138.48
  6. Step 6: Final answer
    x = 45,912.54

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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.