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Finding the Fourth Proportional to 51,809.94, 77,706.63 and 18,523.80

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Solution

The fourth proportional to 51,809.94, 77,706.63 and 18,523.80 is: 27,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.94 : 77,706.63 = 18,523.80 : x
  2. Step 2: Convert to fraction form
    51,809.94/77,706.63 = 18,523.80/x
  3. Step 3: Cross multiply
    51,809.94x = 77,706.63 × 18,523.80
  4. Step 4: Simplify right side
    51,809.94x = 1,439,422,072.79
  5. Step 5: Solve for x
    x = 1,439,422,072.79/51,809.94
  6. Step 6: Final answer
    x = 27,782.74

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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.