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Finding the Fourth Proportional to 57,137.38, 78,853.22 and 31,986.88

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Solution

The fourth proportional to 57,137.38, 78,853.22 and 31,986.88 is: 44,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137.38 : 78,853.22 = 31,986.88 : x
  2. Step 2: Convert to fraction form
    57,137.38/78,853.22 = 31,986.88/x
  3. Step 3: Cross multiply
    57,137.38x = 78,853.22 × 31,986.88
  4. Step 4: Simplify right side
    57,137.38x = 2,522,268,485.75
  5. Step 5: Solve for x
    x = 2,522,268,485.75/57,137.38
  6. Step 6: Final answer
    x = 44,143.93

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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.