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Finding the Fourth Proportional to 57,180, 78,908.40 and 32,029.68

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Solution

The fourth proportional to 57,180, 78,908.40 and 32,029.68 is: 44,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180 : 78,908.40 = 32,029.68 : x
  2. Step 2: Convert to fraction form
    57,180/78,908.40 = 32,029.68/x
  3. Step 3: Cross multiply
    57,180x = 78,908.40 × 32,029.68
  4. Step 4: Simplify right side
    57,180x = 2,527,410,801.31
  5. Step 5: Solve for x
    x = 2,527,410,801.31/57,180
  6. Step 6: Final answer
    x = 44,200.96

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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.