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Finding the Fourth Proportional to 137,100.94, 205,568.36 and 89,658.75

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Solution

The fourth proportional to 137,100.94, 205,568.36 and 89,658.75 is: 134,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,100.94 : 205,568.36 = 89,658.75 : x
  2. Step 2: Convert to fraction form
    137,100.94/205,568.36 = 89,658.75/x
  3. Step 3: Cross multiply
    137,100.94x = 205,568.36 × 89,658.75
  4. Step 4: Simplify right side
    137,100.94x = 18,431,002,197.15
  5. Step 5: Solve for x
    x = 18,431,002,197.15/137,100.94
  6. Step 6: Final answer
    x = 134,433.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.