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Finding the Fourth Proportional to 51,951.40, 77,811.90 and 20,770.60

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Solution

The fourth proportional to 51,951.40, 77,811.90 and 20,770.60 is: 31,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.40 : 77,811.90 = 20,770.60 : x
  2. Step 2: Convert to fraction form
    51,951.40/77,811.90 = 20,770.60/x
  3. Step 3: Cross multiply
    51,951.40x = 77,811.90 × 20,770.60
  4. Step 4: Simplify right side
    51,951.40x = 1,616,199,850.14
  5. Step 5: Solve for x
    x = 1,616,199,850.14/51,951.40
  6. Step 6: Final answer
    x = 31,109.84

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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.