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Finding the Fourth Proportional to 91,857.80, 137,786.70 and 80,193.80

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Solution

The fourth proportional to 91,857.80, 137,786.70 and 80,193.80 is: 120,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857.80 : 137,786.70 = 80,193.80 : x
  2. Step 2: Convert to fraction form
    91,857.80/137,786.70 = 80,193.80/x
  3. Step 3: Cross multiply
    91,857.80x = 137,786.70 × 80,193.80
  4. Step 4: Simplify right side
    91,857.80x = 11,049,639,062.46
  5. Step 5: Solve for x
    x = 11,049,639,062.46/91,857.80
  6. Step 6: Final answer
    x = 120,290.70

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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.