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Finding the Fourth Proportional to 91,811.60, 137,544.60 and 47,286.80

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Solution

The fourth proportional to 91,811.60, 137,544.60 and 47,286.80 is: 70,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,811.60 : 137,544.60 = 47,286.80 : x
  2. Step 2: Convert to fraction form
    91,811.60/137,544.60 = 47,286.80/x
  3. Step 3: Cross multiply
    91,811.60x = 137,544.60 × 47,286.80
  4. Step 4: Simplify right side
    91,811.60x = 6,504,043,991.28
  5. Step 5: Solve for x
    x = 6,504,043,991.28/91,811.60
  6. Step 6: Final answer
    x = 70,841.20

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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.