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Finding the Fourth Proportional to 57,136.80, 78,847.92 and 31,987.20

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Solution

The fourth proportional to 57,136.80, 78,847.92 and 31,987.20 is: 44,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.80 : 78,847.92 = 31,987.20 : x
  2. Step 2: Convert to fraction form
    57,136.80/78,847.92 = 31,987.20/x
  3. Step 3: Cross multiply
    57,136.80x = 78,847.92 × 31,987.20
  4. Step 4: Simplify right side
    57,136.80x = 2,522,124,186.62
  5. Step 5: Solve for x
    x = 2,522,124,186.62/57,136.80
  6. Step 6: Final answer
    x = 44,141.85

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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.