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Finding the Fourth Proportional to 57,122.77, 78,826.83 and 31,627.33

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Solution

The fourth proportional to 57,122.77, 78,826.83 and 31,627.33 is: 43,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,122.77 : 78,826.83 = 31,627.33 : x
  2. Step 2: Convert to fraction form
    57,122.77/78,826.83 = 31,627.33/x
  3. Step 3: Cross multiply
    57,122.77x = 78,826.83 × 31,627.33
  4. Step 4: Simplify right side
    57,122.77x = 2,493,082,165.26
  5. Step 5: Solve for x
    x = 2,493,082,165.26/57,122.77
  6. Step 6: Final answer
    x = 43,644.28

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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.