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Finding the Fourth Proportional to 57,083.70, 78,775.40 and 31,933.20

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Solution

The fourth proportional to 57,083.70, 78,775.40 and 31,933.20 is: 44,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,083.70 : 78,775.40 = 31,933.20 : x
  2. Step 2: Convert to fraction form
    57,083.70/78,775.40 = 31,933.20/x
  3. Step 3: Cross multiply
    57,083.70x = 78,775.40 × 31,933.20
  4. Step 4: Simplify right side
    57,083.70x = 2,515,550,443.61
  5. Step 5: Solve for x
    x = 2,515,550,443.61/57,083.70
  6. Step 6: Final answer
    x = 44,067.75

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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.