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Finding the Fourth Proportional to 91,568.14, 137,976.14 and 75,292.75

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Solution

The fourth proportional to 91,568.14, 137,976.14 and 75,292.75 is: 113,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,568.14 : 137,976.14 = 75,292.75 : x
  2. Step 2: Convert to fraction form
    91,568.14/137,976.14 = 75,292.75/x
  3. Step 3: Cross multiply
    91,568.14x = 137,976.14 × 75,292.75
  4. Step 4: Simplify right side
    91,568.14x = 10,388,603,014.99
  5. Step 5: Solve for x
    x = 10,388,603,014.99/91,568.14
  6. Step 6: Final answer
    x = 113,452.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.