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Finding the Fourth Proportional to 57,202.92, 78,937.92 and 31,710.36

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Solution

The fourth proportional to 57,202.92, 78,937.92 and 31,710.36 is: 43,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202.92 : 78,937.92 = 31,710.36 : x
  2. Step 2: Convert to fraction form
    57,202.92/78,937.92 = 31,710.36/x
  3. Step 3: Cross multiply
    57,202.92x = 78,937.92 × 31,710.36
  4. Step 4: Simplify right side
    57,202.92x = 2,503,149,860.85
  5. Step 5: Solve for x
    x = 2,503,149,860.85/57,202.92
  6. Step 6: Final answer
    x = 43,759.13

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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.