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Finding the Fourth Proportional to 57,198.89, 78,935.03 and 31,705.80

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Solution

The fourth proportional to 57,198.89, 78,935.03 and 31,705.80 is: 43,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.89 : 78,935.03 = 31,705.80 : x
  2. Step 2: Convert to fraction form
    57,198.89/78,935.03 = 31,705.80/x
  3. Step 3: Cross multiply
    57,198.89x = 78,935.03 × 31,705.80
  4. Step 4: Simplify right side
    57,198.89x = 2,502,698,115.65
  5. Step 5: Solve for x
    x = 2,502,698,115.65/57,198.89
  6. Step 6: Final answer
    x = 43,754.32

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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.