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Finding the Fourth Proportional to 91,198.65, 125,856.26 and 57,208.57

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Solution

The fourth proportional to 91,198.65, 125,856.26 and 57,208.57 is: 78,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,198.65 : 125,856.26 = 57,208.57 : x
  2. Step 2: Convert to fraction form
    91,198.65/125,856.26 = 57,208.57/x
  3. Step 3: Cross multiply
    91,198.65x = 125,856.26 × 57,208.57
  4. Step 4: Simplify right side
    91,198.65x = 7,200,056,274.00
  5. Step 5: Solve for x
    x = 7,200,056,274.00/91,198.65
  6. Step 6: Final answer
    x = 78,949.16

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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.