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Finding the Fourth Proportional to 57,208.38, 78,947.56 and 31,714.67

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Solution

The fourth proportional to 57,208.38, 78,947.56 and 31,714.67 is: 43,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.38 : 78,947.56 = 31,714.67 : x
  2. Step 2: Convert to fraction form
    57,208.38/78,947.56 = 31,714.67/x
  3. Step 3: Cross multiply
    57,208.38x = 78,947.56 × 31,714.67
  4. Step 4: Simplify right side
    57,208.38x = 2,503,796,049.72
  5. Step 5: Solve for x
    x = 2,503,796,049.72/57,208.38
  6. Step 6: Final answer
    x = 43,766.25

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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.