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Finding the Fourth Proportional to 57,141.76, 78,858.88 and 31,991.04

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Solution

The fourth proportional to 57,141.76, 78,858.88 and 31,991.04 is: 44,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.76 : 78,858.88 = 31,991.04 : x
  2. Step 2: Convert to fraction form
    57,141.76/78,858.88 = 31,991.04/x
  3. Step 3: Cross multiply
    57,141.76x = 78,858.88 × 31,991.04
  4. Step 4: Simplify right side
    57,141.76x = 2,522,777,584.44
  5. Step 5: Solve for x
    x = 2,522,777,584.44/57,141.76
  6. Step 6: Final answer
    x = 44,149.46

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1.5x scale

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.