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Finding the Fourth Proportional to 91,679.60, 137,738.10 and 82,056.80

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Solution

The fourth proportional to 91,679.60, 137,738.10 and 82,056.80 is: 123,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,679.60 : 137,738.10 = 82,056.80 : x
  2. Step 2: Convert to fraction form
    91,679.60/137,738.10 = 82,056.80/x
  3. Step 3: Cross multiply
    91,679.60x = 137,738.10 × 82,056.80
  4. Step 4: Simplify right side
    91,679.60x = 11,302,347,724.08
  5. Step 5: Solve for x
    x = 11,302,347,724.08/91,679.60
  6. Step 6: Final answer
    x = 123,280.94

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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.