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Finding the Fourth Proportional to 91,568.63, 137,976.90 and 75,293.25

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Solution

The fourth proportional to 91,568.63, 137,976.90 and 75,293.25 is: 113,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,568.63 : 137,976.90 = 75,293.25 : x
  2. Step 2: Convert to fraction form
    91,568.63/137,976.90 = 75,293.25/x
  3. Step 3: Cross multiply
    91,568.63x = 137,976.90 × 75,293.25
  4. Step 4: Simplify right side
    91,568.63x = 10,388,729,225.93
  5. Step 5: Solve for x
    x = 10,388,729,225.93/91,568.63
  6. Step 6: Final answer
    x = 113,452.93

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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.