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Finding the Fourth Proportional to 91,286.56, 125,969.36 and 51,540

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Solution

The fourth proportional to 91,286.56, 125,969.36 and 51,540 is: 71,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,286.56 : 125,969.36 = 51,540 : x
  2. Step 2: Convert to fraction form
    91,286.56/125,969.36 = 51,540/x
  3. Step 3: Cross multiply
    91,286.56x = 125,969.36 × 51,540
  4. Step 4: Simplify right side
    91,286.56x = 6,492,460,814.40
  5. Step 5: Solve for x
    x = 6,492,460,814.40/91,286.56
  6. Step 6: Final answer
    x = 71,121.76

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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.