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Finding the Fourth Proportional to 51,172.40, 76,769.40 and 16,115.60

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Solution

The fourth proportional to 51,172.40, 76,769.40 and 16,115.60 is: 24,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,172.40 : 76,769.40 = 16,115.60 : x
  2. Step 2: Convert to fraction form
    51,172.40/76,769.40 = 16,115.60/x
  3. Step 3: Cross multiply
    51,172.40x = 76,769.40 × 16,115.60
  4. Step 4: Simplify right side
    51,172.40x = 1,237,184,942.64
  5. Step 5: Solve for x
    x = 1,237,184,942.64/51,172.40
  6. Step 6: Final answer
    x = 24,176.80

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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.