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Finding the Fourth Proportional to 81,696.60, 122,544.90 and 52,147.80

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Solution

The fourth proportional to 81,696.60, 122,544.90 and 52,147.80 is: 78,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,696.60 : 122,544.90 = 52,147.80 : x
  2. Step 2: Convert to fraction form
    81,696.60/122,544.90 = 52,147.80/x
  3. Step 3: Cross multiply
    81,696.60x = 122,544.90 × 52,147.80
  4. Step 4: Simplify right side
    81,696.60x = 6,390,446,936.22
  5. Step 5: Solve for x
    x = 6,390,446,936.22/81,696.60
  6. Step 6: Final answer
    x = 78,221.70

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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.