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Finding the Fourth Proportional to 51,861.40, 77,813.70 and 16,811.80

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Solution

The fourth proportional to 51,861.40, 77,813.70 and 16,811.80 is: 25,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,861.40 : 77,813.70 = 16,811.80 : x
  2. Step 2: Convert to fraction form
    51,861.40/77,813.70 = 16,811.80/x
  3. Step 3: Cross multiply
    51,861.40x = 77,813.70 × 16,811.80
  4. Step 4: Simplify right side
    51,861.40x = 1,308,188,361.66
  5. Step 5: Solve for x
    x = 1,308,188,361.66/51,861.40
  6. Step 6: Final answer
    x = 25,224.70

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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.